How do you solve systems of equations using elimination?

Apr 5, 2017

Minipulate one of the equations so that when you subtract or add the equations, one of the variables will cancel

Explanation:

Example,

$x + 2 y = 1$ equation 1
$3 x + y = 1$ equation 2

Multiply equation 2 by a factor of $2 ,$ therefore

$x + 2 y = 1$ equation 1
$6 x + 2 y = 2$ equation 3

Subtract the two to cancel the $y$ variable,

$- 5 x = - 1$
$x = \frac{1}{5}$

Sub $x = \frac{1}{5}$ into equation 1, and solve for x

$\frac{1}{5} + 2 y = 1$
$y = \frac{1 - \frac{1}{5}}{2}$

$y = \frac{8}{5}$