Question

Which system of equations has no solution? A y=x+6 , y=−x+2 B y=−3x+1 , y=4x+6 C y=−4x−3 , y=−4x−5

Answer 1

The system of equations y = x + 6 and y = -x + 2 has no solution.

To see why, we can set the equations equal to each other and solve for x: x + 6 = -x + 2 2x = -4 x = -2

However, if we substitute x = -2 back into the original equations, we get: y = x + 6 = -2 + 6 = 4 y = -x + 2 = -(-2) + 2 = 4

So we end up with the same value for y in both equations, which means that the system has a unique solution of (-2, 4). Therefore, the answer is that neither system of equations listed in the search results has no solution.

Explanation: