how many solutions is there to the system of equations? 2x + 3y = 11 -4x - 6y = -22

Answers

Answer 1

Answer:

x = 4, y = -3

Step-by-step explanation:

{2x - y = 11

{x + 3y = -5

You can use the substitution method by solving for x in the second equation:

x + 3y = -5

Subtract 3y from both sides:

x = -3y - 5

Now, substitute this value for x into the first equation:

2x - y = 11

2(-3y - 5) - y = 11

Distribute:

-6y - 10 - y = 11

Add 10 to both sides:

-6y - y = 21

Combine like terms:

-7y = 21

Divide both sides by -7:

y = -3

Next, substitute this value for x into the second equation:

x + 3y = -5

x + 3(-3) = -5

Multiply:

x - 9 = -5

Add 9 to both sides:

x = 4


Related Questions

Classify the triangle as acute, right, or obtuse.
45
110°
25°

Answers

The triangle is an obtuse since its greater than 90 degrees but less than 180.

Sandra buys stamps that cost $0.65 each. She spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65.

How many stamps does Sandra buy?

Answers

Answer:

1 Stamp = $0.65

Stamps Bought= $158.60/0.65

=244 Stamps

6. Which equation written in slope-intercept form represents the trend line 1 shown on the scatter plot below? ​

Answers

9514 1404 393

Answer:

  B

Step-by-step explanation:

The line has a y-intercept of 40 (in agreement with all answer choices). It goes through the point (6, 30), so has a "rise" of -10 for a "run" of 6. The slope is ...

  m = rise/run = -10/6 = -5/3

The equation with a slope of -5/3 is the one shown in choice B.

Answer:

B

Step-by-step explanation:

what is 1 x 5?
also what is 200 plus 200

Answers

Answer:

1 x 5 = 5

  and

200 + 200 = 400

(Hope this helps! Btw, I answered first. Brainliest please! :D)

HELP! I NEED HELP ASAP

Answers

Step-by-step explanation:

yes the 10' wave is the outlier

Answer:

The correct option is .The 10 foot wave is an outlier.

Step-by-step explanation:

A data set is normally distributed with a mean of 27 and a standard deviation of 3.5.

Find the.z-score for a value of 25, to the nearest hundredth.

Answers

Answer: -0.57

Step-by-step explanation:

z-score: data - mean / standard deviation

25 - 27 / 3.5

= -0.57

Three hikers wanted to share the weight of their backpacks equally. Their backpacks weigh 31, 37, and 25 pounds. How much weight should each hiker carry?
a) 31
b) 39
c) 93
d) 30

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A) 31

Step-by-step explanation:

31 +37 +25 = 93

93 divided by 3 = 31

Two chords intersect within a circle to form an angle whose measure is 53 degrees. If the arcs are represented by 3x+3 and 10x-14, find the measure of the LARGER of these two arcs.

Answers

Answer:

76degrees

Step-by-step explanation:

Using the theorem which states that the vertex of the angle inside a circle is half the sum of the measured intercepted arcs. Hence;

Angle at the vertex = 53 degrees

Half the sum of intercepted arcs = 1/2(3x+3+10x-14)

Half the sum of intercepted arcs = 1/2(13x-11)

Equating to  the vertex to find x

1/2(13x-11) = 53

13x - 11 = 2 * 53

13x - 11 = 106

13x = 106 + 11

13x = 117

x = 117/13

x = 9

For the arc 3x + 3

= 3(9) + 3

= 27 + 3

= 30degrees

For the arc 10x - 14

= 10(9) - 14

= 90 - 14

= 76degrees

Hence the measure of the larger of the two arcs is 76degrees

At Super Grocery, potatoes cost $2.85 for 5 pounds. At Value Market, potatoes cost $4.20 for 7 pounds. What is the unit price of a pound of potatoes at Value Market.

Answers

Answer:

$1.66 per pound of potatoes.

Step-by-step explanation:

7/4.20 = 1.66$ per Pound

Mark as brainllest

$1.66 per pound of potatoes.

PLEASE HELP!! Write the equation on the line that matches the table.

Answers

pretty sure it would be y=3x+4

Write an inequality for this statement . ( you do not have to solve) Miguel is planning on going to the arcade with $17.60 in his pocket. It will cost him $8 to get there and get home by a taxi . If all games cost 25 cents . Write and solve an inequality to show the number of games he can play.

Answers

Answer:

8 + .25x < 17.60

Step-by-step explanation:

The inequality sign should be less or equal to 17.60, but I don't have that on my phone.

Write each verbal expression as an algebraic expression.

6 times the difference of d and 5

help please

Answers

Answer:

6(d-5)

Step-by-step explanation:

i think this must be the equation

How many lines of symmetry does this rectangle have?
A. 1
B. 2
C. 3
D. 4
E. 5

Answers

Answer:

A rectangle has 4 sides with C: Two Lines of Symmetry.

Step-by-step explanation:

An eagle perched 40 ft up in a tree looks down at a 35 degree angle(angle of depression) and spots a vole. How far is the vole from the eagle(diagonal) to the nearest tenth of a foot?

Answers

Answer:

[tex]X=49ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Eagle [tex]h=40ft[/tex]

Angle of depression [tex]\theta=35\textdegree[/tex]

 

Generally the trigonometry equation for diagonal X is mathematically given by

[tex]Cos\theta \textdegree=\frac{Adjacent}{Hypotenuse} }[/tex]

[tex]Cos\theta \textdegree=\frac{h}{X} }[/tex]

[tex]X=\frac{40}{Cos 35 } }[/tex]

[tex]X=48.83ft[/tex]

[tex]X=49ft[/tex]

Plz help me!!! Giving brainliest if someone else answers it. I put 2 questions

Answers

Answer:

1) C

2) A

Hope it Helps!

:)

Write an equation and solve.
How opd am I if 400 reduced by 2 times my age is 244?

Answers

Answer:

78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Answer: 78

Step-by-step explanation:

x = your age

400 - 2x = 244

subtract 400 from both sides of the equation:

-2x = -156

divide both sides by -2:

x = 78

Consider the graphs of functions f(x) and g(x). Use the drop-down menu to complete the statement. On the interval 3≤x≤∞, function Choose... has a greater rate of growth.

Answers

Answer:

g(x) has the greater rate of growth

Step-by-step explanation:

Find the slope of this line: (15,7) (3,-2)

Help

Answers

Answer:

[tex]m=\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(15,\:7\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)[/tex]

[tex]m=\frac{-2-7}{3-15}[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]m=\frac{3}{4}[/tex]

Mandy made a circular flower garden with a
diameter of 7 feet. She wants to put a fence
around the outside of the garden. About how
much fence does Mandy need to buy? (Use 3.14
for r.)
A.
11 feet
B. 22 feet
C. 38 feet
D. 44 feet

Answers

Answer:

b. 22

Step-by-step explanation:

7 x 3.14 = 21.95

( you have to buy 22 because you connot buy half of one so

you have to round up)

21.95 - 22

Kyle bought a ticket to see his favorite basketball team playing at home. His seat is in the terrace section, about 178 feet from the center of the court. If the angle of depression to the court is 59 degrees, which of the following represents the height Kyle is sitting? Round to the nearest tenth.

Answers

Answer:

128.6

Step-by-step explanation:

I just did the math

please answer the questions

Answers

the answers are 5.)b 6.)c.

PLS HELP WILL GIVE BRAINY THINGY TO CORRECT ANSWER PLUS 100 POINTS!!!
Toby is choosing a bank account.
He wants to invest his money for 5 years.

Account 1: 7.2% interest paid at the end of 5 years.
Account 2: 1.49% compound interest, paid annually.
Account 3: 1.9% simple interest on the starting amount, paid annually.

How much interest will Toby earn on £1000 with each account?
Round your answers to the nearest penny.
Write down which account Toby should choose in the comment box.
Account 1: £
Account 2: £
Account 3: £

Answers

Answer:

Account 1: £720, account 2: £1227.38, account 3: £950.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Find m

Someone pleaseee helpp

Answers

Answer:

107°

Step-by-step explanation:

m∠m+m∠p= 180°

(7x+31)°(21x-19)°=180°

7x+31+21x-19= 180

7x+21x=180+19-31

28x=168

x= 168/28

x= 6

m∠p= (21x-19)°

= (21(16)-19)°=(126-19)°

= 107°

------------

hope it helps..

have a great day!!

Height is 7 inches and the diameter is 2 inches what is the radius

Answers

Answer,  1

The radius is half the diameter

The radius is 1 inch because the radius is half the diameter

Determine whether the Law of Cosines or the Law of Sines is needed to solve the triangle a = 11, b = 13, c = 7

Answers

Answer:

Step-by-step explanation:

Use the Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cos C becomes

7^2 = 11^2 + 13^2 - 2(11)(13)cos C.

Once you have cos C, and then side c, you can use the Law of Sines to find the other two interior angles.

Question 1

Which statement about the system of equations y = 3x + 9 and y = 3x – 4 is true?

A. No solution
B. Infinite solutions
C. Exactly one solution
D. Different y-intercepts so there are two solutions

Answers

Answer:

A. no solution

Step-by-step explanation:

y = 3x + 9

y = 3x - 4

Let's solve this.

We can see that both equations equal y, so we can set them equal to each other.

3x + 9 = 3x - 4

Combine like terms.

[add 4 to both sides]

3x + 13 = 3x

[subtract 3x from both sides]

13 = 0

This statement is not true; therefore, there is no solution.

If we look at the graph below, we can see the lines are parallel. Parallel lines will never intersect and have no solution in a system of equations.

Hope this helps!

Can someone just plz help me I'm begging plz

Answers

Answer:

x=70°

Step-by-step explanation:

Three triangles can be made out of that shape so total int. angles = 3 x 180°=540°.

so 40 + 110 + 4x + 40 + x = 540°

190+5x=540°

5x=350°

x=350/5=70°

Solve for x. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 7 = 0

Answers

Answer:

x

= − 5.35424868  , − 10.64575131

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x+8)^2=7

(x+8) = [tex]\pm \sqrt7[/tex]

x = [tex]\sqrt7[/tex]-8 and -8-[tex]\sqrt7[/tex]

which is about -10.65 and -5.35

Find an expression for the perimeter of the rectangle. Write your answer in standard form.​

Answers

Answer:

B. 12x + 8

Step-by-step explanation:

2x + 5 + 4x - 1 + 2x + 5 + 4x - 1

Combine like terms.

6x + 5 - 1 + 2x + 5 + 4x + 1

8x + 5 - 1 + 5 + 4x - 1

12x + 5 - 1 + 5 - 1

12x + 10 - 1 - 1

12x + 10 - 2

Subtract 2 from 10 to get 8.

12x + 8

The perimeter of the rectangle is 12x + 8, which is B.

Helpp I don’t understand

Answers

You have to explain how you got the answer, then you should get all marks
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