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

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

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