Answer:
See attached graph for lines
Left side line is y = -3x-2
Right side line is y = 2x + 8
Point of intersection is at (-2,4)
Explanation:
The line graphs are attached
The solution for (x, y) is the point of intersection of the two lines
This is at point (2,4)
We can also solve this algebraically by solving first for x and then y
–3x – 2 = 2x + 8
The two line equations are
y = -3x - 2 and y = 2x+8
3x – 2 = 2x + 8
==> 3x -2x - 2 = 2x-2x + 8 (subtract 2x on both sides)
==> -5x -2 = 8
==> -5x -2 + 2 = 8 + 2 (add 2 on both sides to isolate the x term)
==> -5x = 10==> -5x/5 = 10/5 (divide by 5 both sides)
==> x = -2
Plug this value of x into the RHS giving
y = 2(-2) + 8 ==> y = -4 + 8 ==> y = 4
So (-2,4) is the point of intersection of the two lines and is consistent with the point of intersection on the graph