if xz=xy, x=6x-23, z=4x+9, what is the measure of y

Question

if xz=xy, x=6x-23, z=4x+9, what is the measure of y

Answer 1

From the equation xy = xz, x cancels out on both ends so you end up with y = z.

Additionally, you can use the second equation, x = 6x - 23 and simplify it to 5x = 23, then x = 23/5.

You can then plug in that value of x into the third equation: z = 4(23/5) +9, then z = 92/5 + 9, then z = 137/5

Since z = y, this applies to y as well

Therefore, y = z and y = 137/5

Answer 2

Assuming x ≠ 0, y = z