# How do you solve using elimination of #2x+5y=17# and #6x-5y=-9#?

##### 1 Answer

Add the equations to eliminate y and solve for x, and then substitute back to solve for y

#### Explanation:

Starting with

We wish to solve for one of the variables by eliminating the other with addition or subtraction.

Note that we have

To do this, we can add the second equation to the first.

Dividing both sides by 8 gives

Then we simply substitute our result for

So the solution is