Solve by Graphing
Solve by Substitution
Solve by Elimination
Word Problems
Which Method Is Best?
100
y=-x-1

y=2x-10

(3,-4)
100

y=3x+4

y=10

(2,10)
100
2x-2y=6

2x+2y=14

(5,2)
100

Becca bought 1 apple and 3 oranges at the store for $2.89. Tim bought 3 apples and 3 oranges at the store for $3.99. What is the cost of each apple and each orange?

Apple: $0.55 

Orange: $0.78

100
2x+y=4

10x-y=8

Elimination
200
y=-x+3

y=2x

(1,2)
200
y=6x-4

y=-2x+28

(4,20)
200

x-2y=9

3x+2y=-13

(-1,-5)
200

A baseball coach went to the store and bought 2 bats and 50 baseballs for $136. A second baseball coach bought 1 bat and 30 baseballs for $75.85. How much does one baseball and one baseball bat cost?

Bat: $28.75 

Baseball: $1.57

200
y=3x-4

y=-x+4

Substitution
300
y=1

y=x+2

(-1,1)
300
y=x-2

2x+2y=4

(2,0)
300
2x+4y=8

-20x-4y=28

(-2,3)
300

At the state fair, the Sousa's bought 3 baskets of chicken fingers and 2 cheeseburgers for $20.99. The Merdeiros's cought 4 baskets of chicken fingers and 3 cheeseburgers for $29.01. How much does one basket of chicken fingers and one cheeseburger cost?

Chicken Fingers: $4.95 

Cheeseburger: $3.07

300
y=(1/2)x+3

y=2x-2

Graphing
400

y=2

x=3

(3,2)
400
2x-3y=-4

x=7-3y

(1,2)
400

x+y=8

x-y=4

(6,2)
400

Beth went to the store to buy socks. She bought a total of 15 pairs of socks. Each pair of plain socks cost $0.98 and each pair of striped socks cost $1.35. Beth spent a total of $15.81. How many pairs of plain and stripes socks did Beth buy?

12 pairs of plain socks

3 pairs of striped socks

400
4x+2y=16

x=2

Substitution
500
y=-2x+1

y=-2x-3

No Solution
500
y+4x=-3

2x+5y=-15

(0,-3)
500
3y=4x-2

y=2x-2

(2,2)
500

In the 2018 NFL season, Rob Gronkowski and Tom Brady's annual salaries cost the Patriots a total of $23million dollars. Tom Brady made 1.875 times as much money than Rob Gronkowski that season. How much money did Tom Brady and Rob Gronkowski make in the 2018 season?

Brady: $15 million

Gronk: $8 million

500
2x-4y=12

-8x+16y=-48

Elimination