A ball and a bat cost $110 total. The bat costs $100 more than the ball. How much does the ball cost?
For this system of equation,
I designated x for the ball and y for the bat. I know that both equal to 110.
So I wrote the first equation as
x+y=110
I don't know how to proceed for the second equation.
2 answers
Since the ball is less than the bat, would it be subtracted?
Do it with one variable:
cost of ball ---- x
cost of bat = x + 100
x + x + 100 = 110
2x = 10
x = 5
ball costs $5, bat costs $105
your way:
x+y = 110
y - x = 100
Add them: 2y = 210
y = 105
sub back into the first and do it mentally, x = 5
cost of ball ---- x
cost of bat = x + 100
x + x + 100 = 110
2x = 10
x = 5
ball costs $5, bat costs $105
your way:
x+y = 110
y - x = 100
Add them: 2y = 210
y = 105
sub back into the first and do it mentally, x = 5