Question

Which of the following systems describes a zero-solution?(1 point)
Responses

y=12x+6
and −6−2y=x
y is equal to 1 half x plus 6 and negative 6 minus 2 y is equal to x - no response given

y=x
and y=−x
y is equal to x and y is equal to negative x - no response given

2y+x=3
and 4x+8y=12
2 y plus x is equal to 3 and 4 x plus 8 y is equal to 12 - incorrect

6y=−12x+18
and 8x+4y=2

Answer 1

The system
6y = −12x + 18
and
8x + 4y = 2

Both lines have slope −2 (y = −2x + 3 and y = −2x + 1/2) but different y-intercepts, so they are parallel and have no solutions.