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Word Problems
100

y = x + 16

10x + 8y = -88

(-12, 4)

100

y = x + 4
y = 2x + 5

(-1, 3)

100
The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100

Mel has eaten 18 goldfish and is eating 2 more per minutes. Liz has eaten 12 goldfish and is eating 4 more a minute. At what time will they have eaten the same amount of goldfish?

3 minutes

200

2x + 7y = 50

2x - 3y = -10

(4, 6)

200
The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?
200
The solution to the system:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?
200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200

Tyrell has solved 10 math problems and is solving 6 more per minute. Sarah has solved 8 math problems and is solving 7 more per minute. How many minutes until they have solved the same number of math problems? How many math problems have they both solved?

2 minutes, 22 math problems

300

y = -3x - 6

-5x - 8y = -28

(-4, 6)

300
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
300
The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?
300
The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)
300

Luke has made 11 baskets in his basketball game and is making 5 more per minute. Joseph has made 5 baskets and is making 5 more per minute. How many minutes until they make the same about of baskets?

No Solution

400

4x = 8y -52

5x - y = 34

(9, 11)

400
The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)
400
The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?
400
The solution to the system

3s - 2t = 4
t = 2s - 1

What is (-2, -5)
400

Crew has 21 jolly ranchers and is eating 3 per minute. Zainub has 21 jolly ranchers and is eating 2 per minute. Solve the system to find out when they will have the same amount of jolly ranchers.

(0, 21)

500

-3x + 5y =15

6x - 10y = -20

No Solution

500
The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?
500
The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

t + u = 12
t = (1/3)u

What is (3, 9)?
500

The sum of two numbers is 104. Their difference is 68. What are the numbers?

86 and 18

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