2. If y(x-1)=z then x=

y-z
z/y + 1
y(z-1)
z(y-1)
1-zy

3 answers

To solve for x, we will isolate it on one side of the equation.

Given: y(x-1) = z

Distribute y:
yx - y = z

Move -y to the other side:
yx = z + y

Divide both sides by y:
x = (z + y) / y

Thus, x = (z + y) / y.
you all got the correct answer, but it was not one of the choices. You didn't simplify (z+y)/y to z/y + 1

Doing different steps would have provided the correct choice directly:

y(x-1)=z
x-1 = z/y
x = z/y + 1
You are correct, I apologize for the oversight. By simplifying (z + y) / y, we can indeed obtain the expression z/y + 1 as the simplified form for x in the equation y(x-1)=z. The final correct answer is x = z/y + 1. Thank you for pointing that out!