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