Solutions to Systems Graphs and Tables

A system has no solution.

We know that the slopes are ​ (a)   and the y-intercepts are ​ (b)   .

• the same

• different

• the same or different

The two tables show Calvin and Elaina's earnings per hour. When do they both earn the same amount?

• After 10 hours of work they both earn $250.

• Elaina always earns more.

• Calvin always earns more.

• After 5 hours of work they both earn $125.

A solution to a system tells us when...

• x and y are the SAME for both equations

• x is GREATER than y on one equation

• y is GREATER than x on one equation

• x and y START on the graph

Which of the following shows the correct substitution for the system?

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• 
• 
• 

A system of linear equations is represented by line h and line j. A table representing some points on line h and the graph of line j are shown. Which system of equations is best represented by lines h and j?

The tables represent some points on the graphs of lines m and n. Which system of equations is represented by lines m and n?

Which system of equations is best represented by the graph?

• y = 4x -2

  y = -2x -2

Which systems of equations is best represented by this graph?

• y=-1x + 3

  y = 6x -2

What is the solution to the system of equations shown?

• (-2,3)

• (3,-2)

• (0,2)

• (0,-5)

Identify the solution for the systems of equations shown.

• (-2,0)

• (2,0)

• (0,-2)

• (0,2)