#### Answer

Solution: (11, -4)

#### Work Step by Step

Our two equations are:
1. 2x+5y=2
2. 3x-5y=53
First I will add both equation to eliminate the y-terms. We get:
5x=55
Now solve for x by dividing both sides by 5. We get:
x=11
Now that we know the value of x, lets substitute it back into one of the original equations to find the value of y.
2(11)+5y=2
22+5y=2 (Subtract 22 from both sides)
5y=-20 (Divide both sides by 5)
y=-4
So our solution is (11,-4)