Question

How many solutions does the system of equations below have?y = -x - 32y + 2x = -6A. More than 1 solutionB. Exactly 1 solutionC. No solutionD. At least 1 solution

Answer 1

Given: y = -x-3 and 2y+2x=-6

$2y+2x=6\Rightarrow2y=-2x+6\Rightarrow y=-x+3$

So now we have y = -x - 3 and y = -x + 3

Since they have the same slope but different y intercept then this means they are parallel lines so they will never meet.

Answer:

C. No solution