Question

schoology.com/assignment/4674363703/assessment Question 5 (4 points) (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 points) a (-4, 2) b (4, 2) (-2, 4)​

Answer 1

Answer:

$(x,y) = (-4,2)$

Step-by-step explanation:

Given

$x + y = -2$

$y = 2x + 10$

Required

Determine the point of intersection of both equations (if graphed)

To do this, we solve for x and y

Substitute 2x + 10 for y in the first equation

$x + 2x + 10 = -2$

$x + 2x = -2 - 10$

$3x = -12$

$x = -4$

Substitute $x = -4$ in the second equation

$y=2x +10$

$y=2*-4 +10$

$y=-8 +10$

$y = 2$

So, the point of intersection is:

$(x,y) = (-4,2)$

See attachment for graph