# How do you solve the system of equations #5x + y = 11# and #- 3x - 7y = - 13#?

##### 1 Answer

Mar 24, 2017

#### Answer:

#### Explanation:

Solving by addition/ elimination

The plan is to eliminate either one of the variables;

Eqn 1:

Eqn 2:

Multiply eqn 1 by

#35x + 7y = 77#

Add eqn 3 + eqn 2:

#32x = 64#

Dividing both sides by

#x = 2#

Substitute

#5 * (2) + y = 11#

#10 + y =11#

#y = 1#