Answer
(2,0)
Work Step by Step
You have the equations:2x+y=4 and 6x+7y=12. Multiply the first equation by -3 in order to be able to eliminate x:
-3(2x+y=4)
-6x-3y=-12
Combine the two equations in order to eliminate them:
6x+7y=12
-6x-3y=-12
4y=0
y=0
Plug in y=0 in one of the equations:
2x+0=4
2x=4
x=2
Check your work by plugging in y=0 and x=2 into one of the equations:
6(2)+7(0)=12
12+0=12
12=12
The solution is (2,0)
