# How do you solve the following linear system: #-9x - 5y = -1, 3x + y = 1 #?

##### 1 Answer

There are two methods: Substitution and addition, subtraction.

For this problem addition or subtraction would be the preferred method.

#### Explanation:

Multiplying the second equation by 3 makes adding the two equations easy

Now add the two equations

Now solve for y by dividing both sides by

This gives

Put

This gives

The point of intersection is

The substitution method would also work but in this case would be more difficult. An alternative would be to graph both equations and then find the point of intersection.