Answer:
[tex](x,y) = (-4,2)[/tex]
Step-by-step explanation:
Given
[tex]x + y = -2[/tex]
[tex]y = 2x + 10[/tex]
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
[tex]x + 2x + 10 = -2[/tex]
[tex]x + 2x = -2 - 10[/tex]
[tex]3x = -12[/tex]
[tex]x = -4[/tex]
Substitute [tex]x = -4[/tex] in the second equation
[tex]y=2x +10[/tex]
[tex]y=2*-4 +10[/tex]
[tex]y=-8 +10[/tex]
[tex]y = 2[/tex]
So, the point of intersection is:
[tex](x,y) = (-4,2)[/tex]
See attachment for graph
