Solving Systems of Equations

substitution

100

-x+3y=28

y=6x-2

(2,10)

200

y=-3x+2

y=-2x+2

(0,2)

300

3x+6y= -9

2x+9y= -26

(5,-4)

400

-4y-11x=36

20=-10x-10y

(-4,2)

500

x=y-4

2x+3y=6

(-6/5 , 14/5)

elimination

100

5x+y= 9

10x-7y= -18

(1,4)

200

-4x-2y= -12

4x+8y= -24

(6,-6)

300

7x+y= -2

3x-y= 12

(1,-9)

400

3x-2y=6

5x+6y=38

(4,3)

500

-2x+3y= -12 

3x-4y= 18

(6,0)

writing

100

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

200

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

300

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

400

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

500

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

graphing

100

x-y=2

x=-2

(-2,-4)

200

x+y=5

-8x+3y+-18

(3,2)

300

y = -2

x+y=5

(7,2)

400

y=2/3x+5

-2x+4y+-8

(-42,-23)

500

y=-4x+6

y=3x+4

(2/7, 34/7)