# How do you solve for y in 5x+4y = 10?

Feb 23, 2016

Isolate y.

#### Explanation:

$5 x + 4 y = 10$

$4 y = 10 - 5 x$

$y = \frac{10}{4} - \frac{5 x}{4}$

$y = \frac{10 - 5 x}{4}$

Hopefully this helps!

Feb 23, 2016

$y = \frac{1}{4} \left(10 - 5 x\right)$

#### Explanation:

Isolate the term with y on the left side. This involves subtracting 5x from both sides of the equation.

hence: 5x + 4y - 5x = 10 - 5x

and left with : 4y = 10 - 5x

now divide both sides by

 rArr (cancel(4)y)/cancel(4) = (10-5x)/4 " or 1/4(10 - 5x )