# How do you solve (2x)/5 + (y/3) = 4?

Mar 20, 2018

color(green)(6x + 5y - 60 = 0

#### Explanation:

Since there are 2 variables and only one equation given, we can only simplify the equation.

$\frac{2 x}{5} + \frac{y}{3} = 4$

Taking L C M for L H S,

$\frac{\left(2 x \cdot 3\right) + \left(y \cdot 5\right)}{15} = 4 , \text{ L C M for 3, 5 is 15}$

$\frac{6 x + 5 y}{15} = 4$

$6 x + 5 y = 15 \cdot 4 = 60 , \text{ cross multiplying}$

$6 x + 5 y - 60 = 0$