Find the solution of the system of equations.

5x - 2y = - 5

5x + 6y = 35

(1,5)

Step-by-step explanation:

Find a way to cancel out a variable, right now the easiest option is x because you only need to make one of the two negative like such:

- (5x-2y=-5)

5x+6y=35

^this becomes

-5x+2y = 5

5x + 6y=35

When you add up the terms, the x cancels out and you're left with

8y = 40

Now you need to solve for y by getting the variable by itself (divide by 8)

y = 5

Now, in order to find x, you need to plug y into one of the original equations

I'm going to choose 5x-2y=-5 simply because it has smaller numbers

So once you plug y in the equation should look like this:

5x-2 (5) = -5

Multiply - 2*5 and your equation should now be

5x-10=-5

Now you need to isolate the variable, first add 10 to both sides

5x-10+10 = - 5+10

5x=5

Divide by 5 to officially solve for x

x=1

The answer should, therefore be (1,5)