# How do you solve the system using the elimination method for 5x +5y= -7 and 7x -3= 11?

Jul 13, 2015

The second equation only has one variable (x) so the value of x can be found. This can then be substituted into the first equation to get a value for y

#### Explanation:

$7 x - 3 = 11$
$7 x = 11 + 3$
$x = \frac{14}{7}$
$x = 2$

$5 x + 5 y = - 7$
$5 \cdot 2 + 5 y = - 7$
$5 y = - 7 - 10$
$y = - \frac{17}{5}$
$y = - 3.4$