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Solve for x and y by solving these equations above. answer must be in x,y form

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Solve for x and y by solving these equations above. answer must be in x,y form please-example-1
User Maranda
by
4.3k points

2 Answers

3 votes

Answer: (-2,-2)

Explanation:

y = 2x + 2

y = -2x -6

Solve using the substitution method. Set the equations equal to each other and solve for x.

2x + 2 = -2x -6 Add 6 to both sides

+6 +6

2x + 8 = -2x subtract 2x from both sides

-2x -2x

8= -4x Divide both sides by -4

x = -2

Since the value for x is -2 input it into one of the equations and solve for y.

y = 2(-2) + 2

y = -4 + 2

y = -2

The solution is (-2,-2)

User RSK
by
3.9k points
6 votes

Hi there! :)


\large\boxed{(-2, -2)}

y = 2x + 2

y = -2x - 6

Both equations are equal to "y", so we can simply set both equations equal to each other:

2x + 2 = -2x - 6

Add "2x" to both sides:

2x + 2x + 2 = -6

Subtract "2" from both sides:

4x = -8

Divide both sides by 4:

4x/4 = -8/4

x = -2

Substitute in this value of "x" back into either of the equations:

y = -2(-2) - 6

y = 4 - 6

y = -2

Therefore, the solution of the equations is at (-2, -2).

User Aedoro
by
4.5k points