# How do you solve the following system?: # x + 3-2y=7 , x=-3x + 4y-17 #

##### 1 Answer

#### Explanation:

Given

[1]

[2]

Re-arrange [1] and [2] into standard form to get (respectively)

[3]

[4]

Since this was asked under "Systems Using Substitution"

Re-write [3] as

[5]

Then substitute

[6]

Simplifying

[7]

[8]

[9]

Substituting

[10]

Simplifying

[11]

[12]

[These values may look a bit ugly, but substituting back into equations [1] and [2] verify that they are correct.]