Question

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

Answer 1

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

1. Start with the initial equation:
\[
x = 2y - \frac{z}{4}
\]

2. To isolate \( \frac{z}{4} \), add \( \frac{z}{4} \) to both sides:
\[
x + \frac{z}{4} = 2y
\]

3. Now, isolate \( \frac{z}{4} \) by subtracting \( x \) from both sides:
\[
\frac{z}{4} = 2y - x
\]

4. To solve for \( z \), multiply both sides by 4:
\[
z = 4(2y - x)
\]

5. Distributing the 4 gives:
\[
z = 8y - 4x
\]

Therefore, the solution for \( z \) is:
\[
z = 8y - 4x
\]