# Is (3, 14) a solution to the equations 6x - y = 5 and y = 5x +2?

Dec 6, 2015

No, it's actually $\left(7 , 37\right)$

#### Explanation:

$6 x - y = 5$
$- y = - 6 x + 5$
$y = 6 x - 5$

$y = 5 x + 2$
plug in $y$

$6 x - 5 = 5 x + 2$
$x = 7$
$y = 6 \left(7\right) - 5$
$y = 37$
$\left(7 , 37\right)$