Solve Systems of Equations with Tables

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

Write the system of equations from the tables.

Hint: find the slope and y-intercept for each table.

What is the solution?

• (5, 11)

• (2, 5)

• (-1, 1)

• (11, 5)

Identify the two equations for the system given in the tables. Select 2 equations.

Evelyn, Zoe, and Nora are planning a big party at the Country Buffet restaurant. The restaurant has tables that seat 6 people and booths that can seat 4 people. They counted 38 seating units in total, which can accommodate 188 people. They started a fun challenge to figure out the number of tables, t, and the number of booths, b, at the restaurant. Can you help them solve this challenge?

• 4t=386 b=188

• t+b=38 6t+4b=188

• t+b=188 6t+4b=38

• t+b=38 4t+6b=188

Some of the values for two linear equations are shown in the tables below.

• ( -2, 4 )

• ( -2, -4 )

• ( -6, 10 )

• (10, 2 )

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

• (-2,3)

• (1,3)

• (3, 7)

• (4,9)

Given the table, what is the solution to the systems of equations?

• (-4,3)

• (3,3)

• No Solution

• Infinity Solutions

The tables of ordered pairs represent some points on the graph of lines q and v. Which system of equations is represented by lines q and v?

• F

• G

• H

• J

The table of ordered pairs represents some points on the graphs of r and s. What system of equations is represented by lines a and b? (A.2I)

• x+2y=12

  3x-y=5

• -x+y=6

  3x+y=5

• -x+2y=12

  3x+y=-5

• x-y=6

  3x-y=5

Which system of equations do the tables represent?

• 2x+y=-2

  3x-y=7

• 2x+y=7

  3x+y=2

• 2x+y=7

  3x-y=-2

• -2x-y=7

  x-y=4