substitution
-x+3y=28
y=6x-2
(2,10)
5x+y= 9
10x-7y= -18
(1,4)
The Royals sold a total of 128 adult and child tickets to a game. Adult tickets cost $25 and child tickets cost $10. The stadium made a total of $1985. How many tickets of each were sold?
x + y= 128
25x + 10y = 1985
x-y=2
x=-2
(-2,-4)
y=-3x+2
y=-2x+2
(0,2)
-4x-2y= -12
4x+8y= -24
(6,-6)
Carson purchased 6 dog toys and 8 cat toys and spent a total of $80. Layla bought 14 dog toys and 16 cat toys and her total was $170. X is price of dog toys and y is the price of cat toys.
6x+ 8y=14.50
7x+4y=14.25
x+y=5
-8x+3y+-18
(3,2)
3x+6y= -9
2x+9y= -26
(5,-4)
7x+y= -2
3x-y= 12
(1,-9)
Lily went to the cafeteria for lunch, she bought 3 cookies and 5 drinks of chips for $7.55. Emma went to the cafeteria and bought 6 cookies and 12 drinks for 17.40.
3x+5y=7.55
6x+12y=17.40
y = -2
x+y=5
(7,2)
-4y-11x=36
20=-10x-10y
(-4,2)
3x-2y=6
5x+6y=38
(4,3)
Two math teachers together make 345 copies each week. Mr. Miller makes 3 more than half as many copies as Mr. Johnson makes. make the systems for each week. Mr.Miller is X and Mr. Johnson is Y.
x+y+345
x=1/2y+3
y=2/3x+5
-2x+4y+-8
(-42,-23)
x=y-4
2x+3y=6
(-6/5 , 14/5)
-2x+3y= -12
3x-4y= 18
(6,0)
At a theater camp they have beginner and Advanced classes. the beginner cost 6 more than half the cost of advanced. last week they had 7 beginner classes and 11 advanced classes and earned $390.
2b-a=12
7b+11a=390
y=-4x+6
y=3x+4
(2/7, 34/7)