(08.01)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)

(-4, 2)

Step-by-step explanation:

To find the points where the lines intersect we need to solve the system of equations:

x + y = −2                      [1]

y = 2x + 10                    [2]

Substituting [2] into equation [1] we have:

x + (2x + 10) = −2

⇒ x + 2x + 10 = -2

⇒ 3x = -12

⇒ x = -4

Now, let's find 'y':

y = 2x + 10  ⇒  y = 2(-4) + 10 = 2

Therefore, the two equations intersect at (-4, 2)

I would say they intersect at A. -4, 2

Step-by-step explanation:

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two