Problem Solving Systems of Linear Equations

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

• (1, -1)

• (-1, 1)

• (-1, 2)

• (1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

Tags

CCSS.8.EE.C.8C

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 3

• Add the equations to eliminate x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 2

• Add the equations to eliminate x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by the elimination method.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by the elimination method.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by the elimination method.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The sum of two numbers is 22. The difference of two numbers is 6. Which system can be used to solve this problem?

Tags

CCSS.8.EE.C.8C

You are hosting family and friends for dinner. There will be at least 8 people attending. You will prepare some vegetarian dinner that cost $5 and a meat-based dinner that costs $6. You hope to spend no more than $70. Let x = number of vegetarian dinners Let y = number of meat-based dinners Which system that could represent this situation?

Cullin needs to save at least $100 for homecoming. He works 2 jobs earning $8/hour at Culvers and $25/hour mowing lawns. He only has time to work 14 hours before homecoming.

• x + y  ≥ 25
  x + y ≤ 8

• 100x + 25 y ≤ 100
  2x + 8y ≤ 14

• x + y ≥ 100
  8x + 25y ≤ 14

• 8x + 25y ≥ 100
  x + y ≤ 14