# How do you solve 2x + 5y = 2 and -3x - y = -3 using substitution?

Jun 23, 2018

$x = 1$ and $y = 0$

#### Explanation:

From second equation, $y = 3 - 3 x$

After putting value into first one,

$2 x + 5 \cdot \left(3 - 3 x\right) = 2$

$2 x + 15 - 15 x = 2$

$15 - 13 x = 2$

$- 13 x = - 13$, so $x = \frac{- 13}{- 13} = 1$

Thus $y = 3 - 3 \cdot 1 = 0$