Question

Solve each literal equation for the given variable.
solve for z
x=(2y-z)/4

Answer 1

To solve the equation \( x = \frac{2y - z}{4} \) for \( z \), follow these steps:

1. Start by multiplying both sides of the equation by 4 to eliminate the fraction:
\[
4x = 2y - z
\]

2. Next, isolate \( z \) by adding \( z \) to both sides and subtracting \( 4x \) from both sides:
\[
z = 2y - 4x
\]

Thus, the solution for \( z \) is:
\[
z = 2y - 4x
\]