A bat and a ball cost one dollar and ten cents. If the bat costs one dollar more than the ball. What does the ball cost?
x+y=1.1
y is a dollar more than x.
(If you didn't know, y is the bat, x is the ball)
y=x+1
x+y=1.1
Substitute x+1 for y.
x+(x+1)=1.1
2x+1=1.1
Subtract 1 from both sides.
2x=.1
Divide by 2 on both sides.
x=.05
Now, substitute .05 for x in y=x+1.
y=.05+1
y=1.05
Answer: The ball is $.05 and the bat is $1.05.
:)