Answer
One solution (2,0)
Work Step by Step
You have the equations:5x-3y=10 and 10x+6y=20. Multiply the first equation by 2 so you can eliminate the y variable:
2(5x-3y=10)
10x-6y=20
Eliminate the equations by combining them:
10x+6y=20
10x-6y=20 -combine the equations-
20x=40 -divide both sides by 20-
x=2
Plug in x=2 into one of the equations:
10(2)+6y=20 -distribute-
20+6y=20 -subtract 20 from both sides-
6y=0 -divide both sides by 6-
y=0
Check the solutions by plugging in x=2 and y=0 into one of the equations:
5(2)-3(0)=10
10-0=10
10=10
The one solution is (2,0)
