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

##### 2 Answers

#### Explanation:

You can do it two ways. One is graphical:

Let the first graph be

This can be arranged as the linear graph

The other is

Graphically this gives:

The solution that fulfills both equations then is x=-7, y=-13.

We can also solve it this way:

This gives

Insert this in the other equation:

Which gives

Insert this in the first equation:

Therefore

Please read below

#### Explanation:

Isolate one variable in one of the equations, then use the expression for that variable to solve for the other. Plug the value of the variable you just solve for into either of the other expressions to find out the value of the other. I'll demonstrate below.

Step 1: Find an expression for

(I'd recommend using the blue equation to do this step)

**Step 2: use the expression for #y# to solve for #x#**

I've condensed all the various algebraic steps to solve for

**Step 3: Use the found value of #x# to solve for #y# (I recommend using the blue equation).**

Solution:

Hope that helps!