# How do you solve the system y = 5x and 2x + 3y = 34?

May 24, 2016

The solution for the system of equations is:
color(green)(x=2
color(green)(y = 10

#### Explanation:

color(blue)(y = 5x...................equation $\left(1\right)$

$2 x + 3 y = 34$......equation $\left(2\right)$

Solving by substitution:

Substituting equation $1$ in equation $2 :$

$2 x + 3 y = 34$

$2 x + 3 \times \textcolor{b l u e}{5 x} = 34$

$2 x + 15 x = 34$

$17 x = 34$

$x = \frac{34}{17}$

color(green)(x=2

Finding $y$ from equation $1$ using the value of $x :$

$y = 5 x$

$y = 5 \times 2$

color(green)(y = 10