# How do you solve 8a+2b=11 and 5a-6b=25?

##### 1 Answer

May 23, 2018

#### Explanation:

We have the following system:

We want to eliminate one of the variables so we can solve for the other. So let's multiply the first system by

Now we can add both systems to get

Dividing both sides by

We've solved for one of the variables, now we can plug into an equation to solve for the other.

I'll plug into the first equation. We get

which simplifies to

Now, we've solved for both of our variables.

Hope this helps!