2x + y = 5
x − 2y = 10
y = 5 − 2x
x − 2(5 − 2x) = 10
x − 10 + 4x = 10
5x − 10 = 10
<em>add 10 to each side</em>
<em>5x-10+10 = 10 + 10</em>
<em>5x=20</em>
5x = 0 <em>this is the error</em>
He needs to add 10 to each side
4b+2c=36, solve for b, subtract 2c from both sides
4b=36-2c divide both sides by 4
b=9-0.5c
Then we are told that:
7b+3c=59, using b=9-0.5c we get:
7(9-0.5c)+3c=59 perform indicated multiplication on left side
63-3.5c+3c=59 combine like terms on left side
63-0.5c=59 subtract 63 from both sides
-0.5c=-4 divide both sides by 0.5
c=8
So each souvenir cup costs $8.
(and each bag of cotton candy is $5)
For left put 2 on each
On the box over 100 put 82, and put 82 in the box on the right
This equation has no solution
