Solving Systems of Equations by Graphing

What does a "solution to a system of equations" mean?

• It's the point where both equations equal zero

• It's the point where graphs of both equations cross the y-axis

• It's the point that is true for both equations at the same time

• It's the point where graphs of both equations cross the x-axis

Answer explanation

A solution to a system of equations is a point that will work in all equations within the system.

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Answer explanation

These lines intersect at ONE point. This means that only one point will be true for the equations of both lines.

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Answer explanation

Parallel lines have the same slope. They will never intersect, so they have no common solution.

What is the first step in solving a system by graphing?

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution to this system?

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1.5)

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Solve the system of equations by graphing.

• No Solution

• (-2, 6)

• (4, 0)

• (2, 2)

Solve the system of equations by graphing.

• (4, 7)

• (3, 5)

• (6, 7)

• (5, 3)