# How do you solve y + 3x = 11 and 2y - x = 2?

Sep 5, 2015

$x = \frac{20}{7}$
$y = \frac{17}{7}$

#### Explanation:

y + 3x = 11 --------------(1)
2y - x = 2 --------------(2)

Solve the 1st equation for y
y = 11 -3x --------------(3)

Substitute the value of y = 11 - 3x in equation (2)

2(11 - 3x) - x = 2
22 - 6x - x = 2
-7x = 2 -22
$x = \frac{- 20}{- 7}$
$x = \frac{20}{7}$

Substitute the value of x in equation (3)
$y = 11 - 3 \left(\frac{20}{7}\right)$
$y = 11 - \left(\frac{60}{7}\right)$
$y = \frac{77 - 60}{7} = \frac{17}{7}$
$y = \frac{17}{7}$