# How do you solve the system of equations 3x + 7y = 8 and 2y = - 9x + 24?

Jul 26, 2017

See below.

#### Explanation:

We see that by multiplying the first equation by $3$, we can eliminate the $x$ from the equation.

$3 x + 7 y = 8 \to 9 x + 21 y = 24$

and

$- 9 x + 24 = 2 y$

$21 y + 24 = 2 y + 24$, so color(blue)(y=0
$- 9 x + 24 = 0$
$x = \frac{24}{9}$ so color(blue)(x=8/3
Our final solution is $\left(\frac{8}{3} , 0\right)$.