Question

Which equation creates an infinite number of solutions when solved for a system with
`y=8x-9`

a)
`y=9x-8`
b)
`3y-24x=-36`
c)
`4y+24x=-27`
d)
`4y-32x=-36`
e)
`2y+16x=-18`

Answer 1

d) 4y - 32x = -36

Explanation:

When two equations are equal, they have an infinite number of solutions when solved.

y = 8x - 9

Multiply both sides by 4.

(4)y = 4(8x - 9)

4y = 32x - 36

Subtract 32x on both sides.

4y - 32x = -36

Answer 2

d) 4y − 32x = -36

Explanation:

If there are an infinite number of solutions, the equations represent the same line.

y = 8x − 9

y − 8x = -9

4y − 32x = -36