Question

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

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

Answer 1

y = –4x + 5

Explanation:

It's A on ed

Answer 2

y=-4x+5

Explanation:

The given equation is

`4x - y = 5`

In slope intercept form,

`y = 4x - 5`

We want a second equation that will form a system with unique solution with the given equation.

To achieve this the second equation must not have a slope of 4.

The first equation, y=-4x+5 has a slope of -4 which is not equal to 4.

Hence the correct answer is y=-4x+5

We can see that the remaining options have a slope of 4 when simplified.

Second option: y = 4x-5

Third option:2y = 8x - 10----->y=4x-5

Fourth option: -2y = -8x - 10----->y=4x+10