# How do you solve the following linear system: # -x+2y=-6 , 5x-2y=-35 #?

##### 1 Answer

Isolate

#### Explanation:

**Isolate #x# in the simplest manner possible:**

Equation 1:

Equation 2:

#-x + x + 2y = - 6 + x# # 2y + 6 = -6 + x +6 # #2y + 6 = x#

Substitute the expression in step 3 in for

Distribute

Which becomes...

Now isolate

... and use the value of

There aren't negative signs on both sides of the equation, so the value of

Since these are linear systems, these are the only solutions to the system. You can always rewrite both equations in terms of

Graph these: