Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=

Answers

Answer 1

Answer:

x = 8, y = 2

Step-by-step explanation:

Multiply the second equation by -2:

x + 6y = 20

-2x - 6y = -28

Add the equations and simplify:

-x = -8

x = 8

Plug x = 8 back into the first equation and solve for y:

8 + 6y = 20

6y = 12

y = 2

Answer 2

Answer:

x=8

Y=2

or

(x,y)=(8,2)

Step-by-step explanation:

x+6y=20

x+3y=14

solve the equation for x

x+6y=20

x=14-3y

substitute the given value of x into the equation

x+6y=20

14-3y+6y=20

14+3y=20

3y=20-14

3y=6

3y/3=6/3

y=2.

substitute the given value of y into the equation

x=14-3y

x=14-3×2

x=14-6

x=8.

the possible solution of the system is the ordered pair (x,y)

(x,y)=(8,2)

or

x=8

Y=2

Proof:

Check if the given ordered pair is the solution of the system of equations

8+6×2=20

8+3×2=14

simply the equalities

20=20

14=14

since all of the equalities are true, the ordered pair is the solution of the system

(x,y)=(8,2)


Related Questions

what is the measure of angle x?​

Answers

Answer:

the answer is 111

Step-by-step explanation:

[tex]180 - 36 - 75 = 69[/tex]

[tex]180 - 69 = 111[/tex]

Answer:

x = 111°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 75° + 36° = 111°

Please help me out!​

Answers

Answer:

D

Step-by-step explanation:

A-59

B-10

C-19

D-24

Find the value of k given that both points lie on a line passing through the origin.

(k,−24) and (5,40)


PLEASE HELP ASAP if you do thank u and have a blessed day

Answers

Answer:

[tex]k=-3[/tex]

Step-by-step explanation:

Since the line passes through the origin, it must be a proportional/direct variation equation.

Direct variation equations have the form:

[tex]y=ax[/tex]

Where a is the constant of proportionality.

Let’s solve for a. We know that when x=5, y=40. So:

[tex]40=5a[/tex]

Divide both sides by 5:

[tex]a=8[/tex]

Therefore, our equation is:

[tex]y=8x[/tex]

We want to find the value of k such that y=-24. So, subsitute -24 for y and k for x:

[tex]-24=8k[/tex]

Divide both sides by 8:

[tex]k=-3[/tex]

Hence, the value of k is -3.

Help me (7th grade math)

Answers

Answer:

The relationship is proportional. The slope or the constant of proportionality is 5. So the answer is the second option.

Step-by-step explanation:

solve
3t – 6 = t – 2

Answers

Answer:

t = 1

Step-by-step explanation:

4t = 4

t = 1

If pqrs is a parallelogram, find the measure of 113
5.67
18
67

Answers

Answer:

∠PSR = 113°

Step-by-step explanation:

Two angles in a parallelogram that are next to each other are supplementary. That means that they add up to 180°, so 7x-13+4x-5 = 180. Solve for x.

7x-13+4x-5=180

        11x-18=180

            11x=198

               x=18

Now plug x back into the angle that opposite from the one you are looking for (they are equal)

7(18)-13 = ∠PSR

 126-13 = ∠PSR

       113 = ∠PSR

45x15= and 45 divided by 15

Answers

Answer:

45x15+675 45 divided by 15 is 3

Step-by-step explanation:

need some help just want to check if my answer is correct​

Answers

Step-by-step explanation:

side A+(8x+2)=x²+12x

side A=x²+12x-8x-2

side A=x²+4x-2

side B+(x-6)=2x²-4

side B=2x²-4-x+6

side B=2x²-x+2


The art teacher is going to have students
paint a mural on the wall of the school.
The building is 632.5 feet long, and there
are 73 students. Part of the wall can't be
painted because it has doors in it; this
part of the wall is 12 feet long. How wide
is the area that each student will have to
paint?

Answers

Answer:

8.5 feet

Step-by-step explanation:

632.5-12= 620.5

620.5/73=8.5

3(x + 1) = −2(x − 1) − 4

Answers

x= -1
i think, hope this helps!

Can yall plz help me answer this!!!

Answers

Answer:

k = 2.5

Step-by-step explanation:

So we start off with: 2.5(4k+2) = 12k

Let's first distribute.

10k + 5 = 12k

Now let's subtract 10k from both sides.

5 = 2k

Now let's divide both sides by 2.

2.5 = k

What is the equation of the line that passes through the point (-3, 4) and has a slope of 1/3?​

Answers

Answer:

y = 1/3x + 5

Step-by-step explanation:

y - y1 = m(x - x1)

y - (4) = 1/3(x - (-3)

y - 4 = 1/3(x + 3)

y - 4 = 1/3x + 1

y = 1/3x + 1 + 4

y = 1/3x +5

I need help this is due really soon

Answers

S: 1,9
T: 4,9
U: 4.-1

sorry if this is wrong it’s been a while since i’ve done this.
Hope this helps! :)

what is 5÷1000 rounded to the nearest hundredth i need help ASAP​

Answers

0.005. If i'm wrong, can ou tell me the answer choices?

Answer:

0.005

Step-by-step explanation:

"Twelve less than two-thirds a number is 48"What is the number?

Answers

2/3x - 12 = 48
2/3x = 60
2x = 180
x = 90

Answer:

-54

Step-by-step explanation:

1.) 12-2/3x=48

2.) Multiple by 3 on both sides

36-2x=144

3.) Move the constant on the other side by subtracting it.

-2x=144-36

4.) Subtract numbers

-2x=108

5.) Divide both sides by -2

-2=108

÷2 ÷2

6,) Then you get x=-54

Does anyone know the answer

Answers

Answer:x = 12,5

using thales's theorem, we have:

[tex]\frac{15}{15+36}=\frac{20}{6x-7}\\\\<=> 6x-7=\frac{20.(15+36)}{15}=68\\\\<=>x = \frac{68+7}{6}=12.5[/tex]

Step-by-step explanation:

Please help me I know it’s not a or b so c or b!! Thanks!

Answers

Answer:

c

Step-by-step explanation:

abcdefghijklmnopqrstuvwxyz now. I know my ABC's next tim won't you sing with me!!!!!!!

Answer:

C

Step-by-step explanation:

the x is in the middle, when it has a large mouth with a line below it means that it is greater than or equal to. When it has the peak it means that it is smaller.

2. Count by 5¢ to complete the
pattern.
1
30¢, 35¢, 404,
Pls helpppp

Answers

10,15,20,25
45,50,55 there

The bill for lunch was $7

Answers

Answer:

how much money did they have ?

Step-by-step explanation:

Answer:

dang thats alot .............

Will mark brainliest

Answers

2.21 is the answer :-/

y varies inversely as X. y=4 when x=2. Find y when x=16

Answers

Answer:

y = 32 (Verified Answer) ✅

Step-by-step explanation:

We will use a proportion to solve this.

[tex]\frac{2}{4} = \frac{16}{y}[/tex]

Now, we cross multiply.

2y = 16 x 4

2y = 64

Now, we must divide by 2 to get the correct value for y

y = 64/2

y = 32

Now, we can use the same proportion to check our answer.

2(32) = 16 x 4

64 = 64 ✅

9514 1404 393

Answer:

  y = 1/2

Step-by-step explanation:

The inverse relation means ...

  y = k/x

We can find k from ...

  xy = k = (2)(4) = 8

Then when x = 16, we have ...

  y = 8/x = 8/16 = 1/2

y is 1/2 when x = 16.

What is the slope of the line described by y=3x-6

Answers

Answer:

The Slope: m=3

Answer:

The y-intercept is -6 on the y-axis

The slope is up 3 over 1

The line has to pass through the coordinates (0,-6)

The slope is positive

2 × x × x × 3 × y × y × y
how do i do this?

Answers

Answer:  [tex]6x^2y^3[/tex]

Explanation:

The numbers 2 and 3 multiply to 6, so that's why the final coefficient is 6.

The x terms multiply to [tex]x*x = x^2[/tex]

The y terms multiply to [tex]y*y*y = y^3[/tex]

The exponent tells us how many copies of the base to multiply.

So overall, [tex]2*x*x*3*y*y*y = 6x^2y^3[/tex]

Please I really need help no one has been helping me lately

Answers

Answer:

should be option one:)

Step-by-step explanation:

Answer:

Pls mark me brainliest!

Step-by-step explanation:

It is option 2!

Can someone help me with 5-6

Answers

Answer:

B, C

Step-by-step explanation:

I love slope

Plz help I have no clue what the answer is

Answers

Answer:

it's D

Step-by-step explanation:

12x-12x would give us 0, so x would be eliminated

|2x - 3|= 23
Solve for x

Answers

Answer:

x= -10 or x=13

Step-by-step explanation:

Mikey is reading a 739-page book. Today he started reading on page 95; he had started reading last week. If he reads for x hours at 18 pages per hour, which equation represents how long it will take him to finish the book?

Answers

Answer:

= 35 hrs and 33 minutes

= 1 day and 11 hours and 33 minutes

Step-by-step explanation:

739 - 95 = 640

640 / 18 = x

x = 35.555555555 (you get what i mean)

35 hours and 33 minutes

Hope this helps

plzz mark brainlest

HELPP ME EMERGENCY


Six eggs weigh 240 grams. What is the constant of proportionality of
grams per egg?

Answers

Answer:

K=40

Step-by-step explanation:

240/6=40 grams and egg

check 6x40=240

Answer:  K= 40

Step-by-step explanation: divide 240 by 6 :)

240/6=40

How will the solution of the system y > 2x + Two-thirds and y 2x + One-third?

Answers

Answer:

Hope that this helps answer your question

Step-by-step explanation:

thanks for the points♡

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

The sample response :D

Other Questions
LISTEN K12 USERS!I am currently hosting a service where I login to people k12 and do certain amounts of assignments for payment (there's an option to get work for free as well). I am doing this to help out and to maybe earn a bit of cash!How this works is that I will send a link of a form to any who are interested, and once I have your work ready for submission, I will send yourself an email discussing any payment.Let me know if this helps! I'm really excited! whats 14 1/4 -7 ASAP Contrast the electron and hole drift velocities through a 10 um (micro meter) layer of intrinsic silicon across which a voltage of 5V is imposed. Let up = 480cm2/Vs and un=1350cm2/Vs. What is the BEST deal on sugar? 1 kg of sugar for $1.051.5 kg of sugar for $1.65 2 kg of sugar for $2.00 5 kg of sugar for $4.75 10 kg of sugar for $9.95A)1 kg of sugar for $1.05B)1.5 kg of sugar for $1.65C)2 kg of sugar for $2.00D)5 kg of sugar for $4.75 can someone pls help me?!!!! i need it asap!! im very stressed What is an important mineral resource in the Gulf coastal plain? What were the Cretans the first to build? roads walls theaterfort HELP!!!Find the value of sec theta, if cos theta =2/19; 0degrees less than and equal to theta less than and equal to 90 degrees.a) 2/19b) -19/2c) -2/19d) 19/2 I need to know...What are peptic ulcers?How do they make you feel?Can they be cured?Why do they appear and can you prevent them? Who was Alexander Hamilton, and what did he do? What postulate is this?AASASASASAAA The diameter of a pipe is normally distributed, with a mean of 0.4 inch and a variance of 0.0009. What is the probability that the diameter of a randomly selected pipe will exceed 0.418 inch How are the sensory regions of the brain related to synesthesia? What do you think in the title of the play, the word fear' symbolize?Its is from valley of fear what are the types of slide show in powerpoint? define. Can someone please help Triangle ABC is isosceles with ZC as the vertex angle. Find x and the measure of each side of the triangle ifAB = 3x - 4, AC = 2x + 6, and BC = 20. Input answers as: x=, AC=, AB= followed by your answer. Analyze your attachment style and describe how this is being manifested in your significant relationships. how would i find the slope and y intersept of 3y=5x-18 Is Natural Gas nonrenewable or renewable? Why? Use in your own words. Fill in the blank ?De something eres? Soy de puerto rico.A.donde B.cuandoC.que D.cuanto