Solving Systems by Graphing
Solving Systems using Algebra
Real-World Puzzles
Number of Solutions
100

Solve this system of equations to find the solution.

y = 4x - 3

y= 3x - 2

(1, 1)

100

Solve this system of equations to find the solution.

y = -5x + 2

y= x - 10

(2, -8)

100

Water Tank A has 25 liters of water and is gaining 30 liters per second.

Water Tank B has 1000 liters of water and is losing 20 liters per second.

After how many seconds will the tanks have the same amount of water?

(19.5, 610)

After 19.5 seconds, both tanks will have 610 liters in it.

100

How many solutions does this system of equations have? If there's one solution, find the solution.


y = 2(x + 5)

y = 3x + 10 - x

Infinitely Many Solutions

200

Solve this system of equations to find the solution.

y = 4x +4

y= x + 13

(3, 16)

200

Solve this system of equations.

y=2x

x + y = 12

(4, 8)

200

Marc is biking 16 miles per hour.

Prisha is biking 12 miles per hour and started 8 miles ahead of Marc.

After how many hours will Marc and Prisha have biked the same amount of miles?

(2, 32)

After 2 hours, Marc and Prisha will both have biked 32 miles. 

200

How many solutions does this system of equations have? If there's one solution, find the solution.

y = 2(-3x + 4)

y = -6x + 10

No Solution