Solve for both systems: 5x + y = 60 and 5x + 5y = 100

5x + y = 60

5x-5x + y = 60-5x

y = 60-5x

5x + 5y = 100

5x + 5( 60-5x ) = 100

5x + 5( 60) (5)(-5x ) = 100

5x+300-25x=100

300-20x=100

300-20x-300=100-300

-20x=-200

-20x/-20=-200/-20

x=10

y = 60-5x

y = 60-5(10)

y = 60-50=10