Question

5x+2y=18
5x-y=36

(_,_)

Answer 1

(6,-6)

Explanation:

Start by taking the first equation and put it in terms of x:

5x+2y=18---> x=(18-2y)/5

Then plug the above equation in for x in the second equation:

5x-y=36---> 5((18-2y)/5)-y=36

Then solve for y in this equation:

5((18-2y)/5)-y=36--->18-2y-y=36

18-2y-y=36--->18-3y=36

18-3y=36--->-3y=18

-3y=18--->y=-6

Then take the newly found y-value, and plug it into the first equation:

5x+2y=18--->5x+2(-6)=18

5x+2(-6)=18---> 5x-12=18

5x-12=18---> 5x=30

5x=30--->x=6

Therefore x=6 and y=-6 so the answer is (6,-6)