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alekssr [168]
3 years ago
9

Find the solution to the system of equations by substitution. 2x - 2y = - 6 y= 2x

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

x = -2

y = 2

Step-by-step explanation:

Take the value of x from the first equation: x = 2 − 2 y ( 1 ) , and substitute for x into the second: y = 2 ( 2 − 2 y ) + 6 solve for y ; y = 4 − 4 y + 6 y = 10 5 = 2 Substitute back into ( 1 ) and find x : x = 2 − 4 = − 2

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How many solutions does the following equation have?
IrinaK [193]
Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!
7 0
3 years ago
Abby says that the first numbers in two equivalent ratios will always have a common factor. Is she correct?
IRINA_888 [86]

Answer:

Yes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Question 10
mylen [45]

-4,2

Step-by-step explanation:

find the average of the x coordinates and y coordinates

8 0
3 years ago
An airplane, flying at an altitude of 15,000 feet above sea level, flies directly above a submarine that is traveling at a depth
Eddi Din [679]
15,000 + 1,250=16,250 add the distance above ground and under water to get the total distance.
6 0
4 years ago
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In ΔSTU, the measure of ∠U=90°, TU = 3.7 feet, and ST = 5.2 feet. Find the measure of ∠S to the nearest tenth of a degree.
tekilochka [14]

Answer:

  45.4°

Step-by-step explanation:

The angle and side lengths in a right triangle are related by ...

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Using the inverse sine function, we have ...

  ∠S = arcsin(3.7/52)

  ∠S ≈ 45.4°

8 0
3 years ago
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