Question

Which equation creates an infinite number of solutions when solved for a system with id="TexFormula1" title="y=8x-9" alt="y=8x-9" align="absmiddle" class="latex-formula">
a) $y=9x-8$
b) $3y-24x=-36$
c) $4y+24x=-27$
d) $4y-32x=-36$
e) $2y+16x=-18$

Answer 1

Answer:

d) 4y − 32x = -36

Step-by-step explanation:

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

y = 8x − 9

y − 8x = -9

4y − 32x = -36

Answer 2

Answer:

d) 4y - 32x = -36

Step-by-step 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