Solving Systems with Tables

Which point satisfies the system of equations shown in the table?

• (-2, -5)

• (0, -5)

• (6, 7)

• (7, 7)

A system of equations is shown on the graph. What is the solution to the system?

• (1, 20)

• (7, 50)

• (-2, 4)

• There is no solution.

Your friend rents 10 chairs and 2 tables for $300. Another friend rents 8 chairs and 4 tables for $360. How much does a chair and a table cost? Write a system of equations to solve.

• Chairs $2 Tables $5

• Chairs $50 Tables $20

• Chairs $10 Tables $15

• Chairs $20 Tables $50

The tables give the costs of renting a bike from two different bike shops. The total charge, y, is a linear function of the number of hours a bike is rented, x, plus a service charge.

Based the tables, what is the solution of the system?

• (1, 2)

• (-1, -8)

• (2, -5)

• No Solution

The table describes a system of two linear equatios. What is the solution of the system?

• (-2,3)

• (1,3)

• (3, 7)

• (4,9)

Casey works two part-time jobs. She earns $9 per hour as a stockroom clerk and $12 per hour as a cashier, a total of $288 weekly. The graph shows the relationship between the number of hours she works at each job each week. The table models the amount of time she must work at each job to make $288. Which system of equations represents the graph and the table?

Which system of equations represents lines f and g?

• y = 1.75x + 3.5

  y = -4x - 8

• y = 1.75x + 3.5

  y = -4x - 2

• y = 3.5x + 1.75

  y = -4x - 8

• y = 3.5x + 1.75

  y = -4x - 2

Which system of equations is represented by lines q and v?

• 21x - y = 9

  5x + 6y = 40

• 3x - y = -27

  x + 2y = 16

• 21x - y = 9

  5x + 6y = 20

• 9x - y = -27

  x + 2y = 8

Use the tables to write a system and solve:

• y=3/2x -1
  y=x-2
  (3,1)

• y=3/2x -1 
  y = x + 2
  (1, 3)

• y=2/3x -1
  y = x - 2
  (3, 1)

• y=2/3x - 1
  y = x + 2
  (1, 3)