How do you solve 2x + 2y = 3 and x - 4y = -1?

Apr 15, 2018

x = 1; y = 1/2

Explanation:

$2 x + 2 y = 3$
x−4y=−1
From the 2nd equation: $x = 4 y - 1$
put this x to the 1st equation:
$2 \left(4 y - 1\right) + 2 y = 3$
$8 y - 2 + 2 y = 3$
$10 y = 5$
$y = \frac{1}{2}$

And on the end y put to the x:
$x = 4 \cdot \frac{1}{2} - 1 = 2 - 1 = 1$