Word Problems
Solve by Substitution
Solve by Elimination
100
Find the value of two numbers if their sum is 12 and their difference is 4.
What is (8,4) ?
100

The solution to the system

x + y = 2

y = 3

What is (-1,3) ?

100

The solution to the system

 x + 5y = 12 

-x +y = 0

What is (2,2) ?

200
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
What is 98 small cups and 57 large cups of lemonade?
200

2y - x = 4

10y - x = 20

What is (4,2) ?

200
The solution to the system -4x - 2y = -12 4x + 8y = -24
What is (6,-6)?
300
Phil bought 6 new compact disks and 2 used compact disks for $127.92. At the same prices, Mackenzie bought 3 new compact disks and 8 used compact disks for $133.89. Find the cost of buying a single used compact disk.
What is $9.99 ?
300

The solution to the system

y = 6x - 11

-2x - 3y = -7

What is (2,1) ?

300

The solution to the system

5x + y = 9

10x - 7y = -18

What is (1,4)?

400

You walk into the grocery store to get two of your favorite fruits: apples and oranges. When you get to the checkout line, you have 9 pieces of fruit in your basket and the cashier says you owe $15. The apples were on sale for $1 each and the oranges were $2 each. How many apples and oranges did you buy?

What is 3 apples and 6 oranges

400

The solution to the system


-3x + 3y = 4

-x + y = 3

What is no solution?

400

The solution to the system

-4x + 9y = 9

x = 3y - 6

What is (9,5)?

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