# How do you solve the following system?: #-13x -3y =6, 8x -y = -1#

##### 1 Answer

(see below for method of solution)

#### Explanation:

Given

[1]

[2]

Multiply [2] by 3 (to give

[3]

Subtract [1] from [3] (to get rid of the

[4]

Divide [4] by 27

[5]

Re-write [2] as an equation for

[6]

Substitute

[7]

Simplify [7]:

[8]

Probably the biggest problem here is trusting your calculations (or being willing to do them in the first place) since the answer isn't "pretty".

If it helps a graph can help verify that the answer is within an appropriate range:

graph{(-13x-3y-6)*(8x-y+1)=0 [-3.97, 3.826, -2.976, 0.917]}