Question

Solve for y:2x-17y=13

Answer 1

The given equation is:

$2x-17y=13$

Step 1. Add 17y to both sides:

$\begin{gathered} 2x-17y+17y=13+17y \\ \\ 2x=13+17y \end{gathered}$

Step 2. Subtract 13 from both sides:

$\begin{gathered} 2x-13=13-13+17y \\ \\ 2x-13=17y \end{gathered}$

Step 3. Isolate y by dividing both sides by 17 and simplify:

$\begin{gathered} \frac{2x-13}{17}=\frac{17y}{17} \\ \\ \text{ Simplify }\frac{17}{17}=1 \\ \\ \frac{2x-13}{17}=1*y \\ \\ \text{ Reorder terms} \\ y=\frac{2x-13}{17} \end{gathered}$

As we don't have an x-value, we let y in terms of x, as in the equation above.