Question

solve the equation for y.4x + 5y = 13

Answer 1

UnderlineTo solve an equation for a variable so you must do these steps

1. Under line the variable

2. put it on one side and all other terms on the other side

3. make its coefficient = 1

Let us do that with our equation

We want to solve it for y

So we need to put y alone on the left side

To move 4x to the other side subtract 4x from both sides

4x - 4x + 5y = 13 - 4x

5y = 13 - 4x

We need to make the coefficient of y = 1

So divide each term in the equation by 5

$\frac{5y}{5}=\frac{13}{5}-\frac{4x}{5}$$y=\frac{13}{5}-\frac{4}{5}x$