Question

A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?

O y=-4x + 5
O y = 4x-5
O 2y = 8x - 10
0 -2y = -8x - 10

Answer 1

O y=-4x + 5

Explanation:

I graphed "4x - y = 5" and the other options using a graphing tool. After graphing, we can see:

"4x - y = 5" and " -2y = -8x - 10" has no solution. The lines are parallel.

"y = 4x-5" and "2y = 8x - 10" overlap over "4x - y = 5". They have an infinite number of solutions.

"y=-4x + 5" and "4x - y = 5" cross at point (1.25, 0). This means that they have one solution.

"y=-4x + 5" should be the correct answer.

Answer 2

y = -4x+5

Explanation:

I graphed the given equation on the graph below and graphed the choices with it. Only one choice had one solution with the given equation. This equation is y = -4x+5