Solve using
elimination
X- 2y = 3
3x - y = 2

Answers

Answer 1

Answer: x = 1/5 and y= -7/5

Step-by-step explanation: Let's solve your system by elimination.

Multiply the first equation by -3,and multiply the second equation by 1.

-3 (x - 2y = 3)

1 (3x - y = 2)

Becomes:

-3x + 6y = -9

3x -y = 2

Add these equations to eliminate x:

5y = -7

Then solve 5y = -7

5y/7 = -7/5

y = -7/5

Now that we‘ve found y, let’s plug it back in and solve for x.

Write down an original equation:

x - 2y = 3

Substitute -7/5 for y in x - 2y = 3:x - 2 (-7/5) = 3x + 14/5 = 3x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)x = 1/5Answer: x = 1/5 and y = -7/5


Related Questions

helppp please i figured out one i need help with the other

Answers

Answer:

14.7 because 10.5÷5=2.1

2.1×7=14.7

14.7 for 7 and 6.3 for 3

Write the equation in slope-intercept form and then graph the equation that passes through (3, 2) and is parallel to the x-axis

Answers

Answer:

y = 2

Step-by-step explanation:

The line is parallel to x-axis so its slope = 0

in y = mx + b:

m = 0

b is the y intercept so b = 2 ( from the graph)

y = 0×x + 2

y = 2


If f(x) = 3x+2 and g(x) = x^2
what is g( f(x))

Answers

Answer:

[tex]9x^{2}+12x+4[/tex]

Step-by-step explanation:

[tex]g(f(x))=(3x+2)^{2}[/tex]

             = [tex]9x^{2}+12x+4[/tex]

please help me solve one of the ones with a red arrow ! i'm not sure how to do it so if you could show me how you did it it'll help ! ill give brainliest, thanks and points

Answers

Answer:

1.)13x = +9

2.)9x = -5

so first you take 1^2 power and it would be 1 so then u add the 1x on to the 12x or 8x from whatever equation ur working on and u would get 13 x or 9x from there u need to get the x isolated from the number without an x so if ur doing number 1 you would do +9 on both sides which would clear the -9 on the left side and add 9 on the right making it 13x = 9

A builder requires 35 buckets of mortar to build a wall.

Mortar is made by mixing cement and sand in the ratio 1:4

How many buckets of cement and sand does he need?

Answers

Answer:

He needs 7 buckets of cement, and 28 buckets of sane.

Step-by-step explanation:

cement : sand

1:4 = 5

35/5 = 7

7*1=7 .          Cement

7*4=28 .       Sand

Write the exponent for the expression. 1.6 exponet 2

Answers

Answer:

The exponent is 2. As a expression it is 1.6^2

Step-by-step explanation:

I don't really have an explanation its just common sense.

1. Julie earns $15.73 per hour and she worked 37 hours last week. How much did she earn? Don't forget to put in
a comma where needed.
$611.08
$582.01
$552.00
$557.02

Answers

Answer:

the answer would be $582.01   ;)

Step-by-step explanation:

Robert is lying on the ground, looking at the top of a flagpole. The angle of elevation to the top of the flagpole is 25°
. What is the height of the flagpole if the distance from his eyes at the ground to the base of the flagpole is 200 ft?

A
181 ft
B
429 ft
C
93 ft
D
85 ft

Answers

Īn dkmd djekdjs s skekdmd answer is c

The tree in Maya's backyard is 6 meters high. How high is it in centimeters?
Be sure to include the correct unit in your answer.

Answers

It is 600cm high
Can u plz give me the brainiest answer

Answer:

Step-by-step explanation:

600cm

What’s the anwser to this problem

Answers

Answer:

B

Step-by-step explanation:

Take his original balance (-142) and add the deposit (500) to get $358.

Hope this helps!

Answer:

B. $358

Step-by-step explanation:

the way you would get this would be to add -142+500

HELPPP PLSSSS
What is the measure of angle U ??????

Answers

Answer:

m<U = 120 degrees

Step-by-step explanation:

9x - 6 = 7x + 22

2x = 28

x = 14

m<U = 9(14) -6

m<U = 126 - 6

m<U = 120 degrees

Hope this helps!!!

Answer:

120

Step-by-step explanation:

U = W

(9x-6) = (7x+22)

SOLVE

subtract 7x from each side.

2x-6 = 22

add 6

2x = 28

divide by 2

x = 14

plug 14 into x and solve.

9(14)-6 = 120

7(14)+22 = 120

both angles are the same

hope that helped

makayla is reading a 400 page book for her book club.she reads 32 pages each hour

Answers

Answer:

12.5 hours

Step-by-step explanation:

[tex]\frac{400}{32}[/tex] = 12.5

Answer:

12 hours and 30 minutes

Step-by-step explanation:

400/32 = 12.5

Find the x-intercept for the following equation.
4x + 9y=27
I

Answers

Answer:  (6.75,0)

Step-by-step explanation:

The x-intercept of a line is when it's y coordinate is 0, so input 0 into the equation for y and solve for x.

4x + 9(0) = 27

4x = 27  

 x= 6.75  

I think the x intercept would be 27/4. This is the best way i can explain.

Simplify -78 ÷ (-9)



(Write answer as a mixed number: whole and fraction remaining.)

Answers

Answer:

8 2/3

Y-E-E-T

Step-by-step explanation:

-78 divded by (-9)

-78

-----

-9

there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.

78/9

divide 3 on both sides

78/3 =26

9/3=3

26/3 now.

so the mixed number would be 8 2/3

8 and 2/3
Shhsjsgsgsks

The local newspaper has letters to the editor from 30 people. If this number represents ​2% of all of the​ newspaper's readers, how many readers does the newspaper​ have?

Answers

Answer:

1500 readers

Step-by-step explanation:

30/.02 = 1500 readers

Determine whether the function is linear (0,1) (-2,-1) (-4,1)

Answers

Answer:

No, this is not a linear function

Step-by-step explanation:

If you graph each point, you will notice that none of the three points line up together in one line with a consitstant slope.

Glen makes 4% commission on his sales. If he makes a sale of $12,000, how much commission does he make? SHOW UR WORK

Answers

Answer:

       480  ganara de comision de los 12000

para conseguir este resultado debes multiplicar 12000 por 4   y luego dividirlo por 100

If two sides and the angle that is not between them of one triangle are congruent to the corresponding two sides and the angle that is not between them of another triangle, then the congruency of those triangles cannot be determined.

Answers

Answer:

True

Step-by-step explanation:

The given parameters are;

Two triangles each with known measures of two sides of the triangle and a non included angle

Therefore, with the given information, each of the the triangles are undefined because the sides can be opened wider or narrowed to have two possible solutions, in the same manner a compass, having one leg at a fixed inclination to the drawing paper can have the second leg either come closer or go further than 90 degrees while the inclination of the one (first) leg remains the same.

Determine the value of x in the figure.

A)

x = 141

B)

x = 94

C)

x = 137

D)

x = 43

Answers

Answer:

what figure?!

Step-by-step explanation:

im not sure scence i dont know what figure but if u were u i would do l × w

Answer:

137

Step-by-step explanation:

Can u help me pls
I don”t know what to do

Answers

Answer:

Step-by-step explanation:

Do you know SOHCAHTOA

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

#1

We have to find cos(x) = adjacent/hypotenuse

[tex]cos(x) = adj/hyp\\=\frac{24}{26} = \frac{12}{13}[/tex]

#2:

We are given an angle of 30 degrees and an opposite side of 15

We need to find the adjacent side, so we can use Tangent

[tex]tan(30) = \frac{15}{adj}[/tex]

[tex]adj = \frac{15}{tan(30)} = 25.98 = 26[/tex]

#3

We are given an angle and an opposite side and we have to solve for hypotenuse.

We can use sin

[tex]sin(43) = \frac{16}{x} \\x = \frac{16}{sin(43)} = 23.46 = 23.5[/tex]

#4:

We are given two sides, we have to find the angle. We are given an opposite side and an adjacent side, so we can use arctangent ([tex]tan^-1(x)[/tex], but not 1/tan(x))

[tex]tan(x) = \frac{36}{19} \\arctan(36/19) = x\\x = 62.1759[/tex]

#5

We are given an opposite side and the hypotenuse, we can use sin

[tex]sin(x) = \frac{19}{28}\\x = arcsin(19/28) = 42.73 = 43[/tex]

A 6-pint jug of water costs $3.84. What is the price per cup?

Answers

1 pint = 2 cups, so 6 pints would be 6 x 2 = 12 cups.

Price per cup = 3.84/12 = 0.32

$0.32 per cup

I think it a 1.22 I sorry if wrong

Will give Brainlist .Question is in the picture.Only answer if you know the correct answer.

Answers

the slope of that line is m=2/5

Why is
f(x) = x²
not a linear function?

Answers

Answer:

below

Step-by-step explanation:

f(x) = x² is not linear because it is not a straight line and does not have a constant slope.

The function shows an example of a quadractic function.

Best of Luck!

Kate has an interior decorating business. She charges a base fee of $25 for each visit and $40 per hour for her labor. 1) Write a function rule to represent this situation for, C, the total cost and h number of hours. 2) Identify the domain and range for the situation. 3) Explain if the situation is discrete or continuous. (if there is no explanation, there will be no credit given) PLEASE I NEED FAST ILL GIVE BRAINLIEST

Answers

Answer:

1) C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) Continuous

Step-by-step explanation:

1) The given parameters are;

The base fee charged = $25

The amount charged for labor = $40/hour

The total cost for h number of hours is C = $25 + $40 × h

2) The domain for the ≠unction is 0 ≤ h ≤ ∞

The range for the function is 25 ≤ C ≤ ∞

3) The situation is continuous because the different input values of h can be infinite (from o to infinity)

what is the highest common factor of 21 and 6 thanks :)))))

Answers

Answer:

The highest common factor of 21 and 6 is 3

Step-by-step explanation:

PLEASE HURRYYY Which number line represents the solution set for the inequality -1/2x>4?
-10
8 6
-2
4
0
2
+
6
4
+
8
10
-10
8
6
4
-2
+
6
0
2
4
+
8
+
10
-10
8
6
4
12
0
2.
4
6
100
10
-10 1-8
6 4
-2
0
10
4
6
100
10

Answers

I can’t understand this. I’m sorry ;-;

On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the third tick mark to the right of 0. (1 point) a negative 3 over 4 b negative 1 over 4 c 3 over 4 d 1 and 2 over 4

Answers

Answer:

-1 and 2/4

Step-by-step explanation:

i took the pre test and got everything right

Rain is falling steadily in Seattle, Washington. After 6 hours, 4 inches of rain has fallen. How long will it take for 1 inch of rain to fall?

Answers

Answer:

For one inch of rain, it will take 1.5 hours (1:30)

Step-by-step explanation:

6 divided by 4 is 1.5

Answer:

1hr 30min

Step-by-step explanation:

so 6 hours = 4 inches. You can . divide both by 4 to get 1 inch.

1 inch = 1.5 hours.

1.5 hours is 1 hour and 30 min

the length of a rectangle is 5 more than twice the width. if the perimeter of the rectangle is 76 meters, find the dimensions of the rectangle and choose the equation that represents the perimeter:

1. 76=2w+5
2. 76=2w+2(2w+5)
3. 76=w+2w+5
4. 76=2w+(2w+5)

Answers

Answer:

Dimensions: 11 meters by 27 meters

2. [tex]76=2w+2(2w+5)[/tex]

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.

With this information we can write:

Length = [tex]2w+5[/tex]

[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)

[tex]4w+10+2w=76[/tex]

[tex]6w=66[/tex]

[tex]w=11[/tex]

Length = [tex]2(11)+5[/tex]

Length = [tex]27[/tex]

∴ The dimensions of the rectangle is 11 meters by 27 meters.

Perimeter

Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]

PLEASE HELP ME WITH THIS, DUE IN 30 MINUTES, 20 POINTS!!!!!!

Answers

Answer:

(1,3) i guess............

(1,3) hope this helps
Other Questions
The church supported the crusades because Una recta que pasa por los puntos A (2,1) y B (6,3) y otra recta pasa por A y por el punto (0,y) Cunto vale y, si ambas rectas son perpendiculares? Answer these very simple questions for points. 1. Have you ever cussed in front of ur parents?2. Have u ever hit one of ur parents?3. Have u ever made one of ur parents cry?4. Have u ever told ur parents something personal?5. Are u embaresed when ur with ur parents out in public? (Select all that are correct) which statements describe key features of function g if g(x) = f(x + 2)a. y-intercept at (0,4)b. domain of {x|-< x Heeeelp pls In 1892, the U.S. government opened Ellis Island primarily to A. Defend NYC from attackB. Process immigrants arriving from EuropeC. Check the safety of imported productsD. Serve as the first federal prison in New York The value of x + x(xx) when x = 2 is: What was one way that working-class women differed from middle-class women?A. They were expected to take care of the home and children.B. They often worked outside the home in factories.C. They supported temperance and the women's suffrage movement.D. They enjoyed greater financial independence. Who is considered to be one of the masters of the Spanish Renaissance?A. Albrect DurerB. Jan van EyckC. El GrecoD. Pieter Bruegel Which journalist is NOT known for being an investigative journalist?A) Nellie BlyB) Anderson CooperC) Bob WoodwardD) Jon Stewart What was available to humans to make their tools before metallurgy?A: Humans used no tools.B: Humans used their bare hands for tools.C: Humans used wood, stone, and bones for tools.D: Humans used natural metals they found on the ground. How is cancer spread through the body? Check all that apply.through the nervous systemthrough the bloodthrough touching organs and tissue In your own words, how will you give importance and value your health? And how will you share your knowledge to the members of your family? what can you use general vocabulary for in your writing?(1 point)to determine your audienceto define domain-specific wordsto be more formalto create strong mental picturesto provide clear examples At which plant is the cost lowest for producing 5 radios? Make x the subject of h = 4(x + 3y )+ 2 Please help me with this please Nico y Manuel llevaron sus taps a la escuela para jugar a la hora de recreo. Nico coloco sus 7 taps en el piso y guardo los dems en una bolsa cuantos taps podra tener Manuel en la bolsa READ THE PASSAGE:Gary and I were working on our science project. We were studying volcanoes and werescheduled to give a big presentation the next day. All our research was done, but I wasextremely nervous about speaking in front of the class. So Gary told me a story about rockclimbing. He'd been climbing mountains with his grandfather since he was ten. Gary saidfacing his fears about climbing had helped him face other everyday fears. His grandfatheralways says that if you can conquer fear, you can overcome any hardship.Which statement best expresses the theme of the passage?Conquering fear enables you to accomplish your goals.Grandfathers are good sources of wisdom.Rock climbing helps you overcome fear of heights.Speaking in front of a class is not as frightening as rock climbing. Is this relationship proportional?Carrots (lb)2 | 3 | 4Number of carrots23 | 33 | 43 Which of these elements has an electron dotnotation that is different from the rest?O radon, RnO krypton, KrO helium, HeXenon, Xeneon, Neargon, ArPostponeSIIRMIT