Question

Consider the following pair of equations:

x + y = −2
y = 2x + 10

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−4, 2)
(4, 2)
(−2, 4)
(2, 4)

Answer 1

A is the answer

Explanation:

Answer 2

Solve: System of Equations:

x + y = −2; y = 2x + 10 ====> y = 2 and x = -4

When Graphed: ===> y = - x - 2; y = 2x + 10

Solve your Equations:

x + y = −2; y = 2x + 10

Solve:

y = 2x + 10 for y

Substitute:

2x + 10 for y in x + y = -2

x + y = -2

x + 2x + 10 = -2

3x + 10 = -2 (Simplify both sides):

3x + 10 + -10 = -2 + -10 (Add -10 both sides):

3x = -12

Divide both sides by 3:

3x / 3 = -12 / 3

x = -4

Substitute:

-4 for x in y = 2x + 10

y = 2x + 10

y = (2)( -4 ) + 10

y = 2 (Simplify both sides):

y = 2 and x = -4

When Graphed: x + y = −2; y = 2x + 10 ===> y = - x - 2; y = 2x + 10

Hence, Letter Choice, (A), x + y = −2; y = 2x + 10 ===> y = 2, and y = -4

Hope that helps!!!! : )