# How do solve the following linear system?: # 8x+2y=3 , 2x+7=-5y #?

##### 2 Answers

Let's isolate for

Now plug that into the first equation for

*common denominator*

*multiply both sides by #5#*

Now let's solve for

Let's check our work by graphing the two equations and seeing where they intersect

Looks right! Good job

#### Explanation:

Given

[1]

[2]

Converting [2] into standard form:

[3]

We note that if we multiply [3] by

[4]

Subtracting [1] from [4] (to get rid of the

[5]

Dividing both sides of [5] by

[6]

Substituting

[7]

[8]

[9]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Verifying by substituting

[10]

[11]

Yes: results verified!