Solving Systems of Equations by Graphing

Solving Systems of Equations by Graphing

• I can verify solutions to systems of equations.

• ​I can solve systems of equations by graphing.

• ​I can solve systems with one solution, no solution, or infinitely many solutions.

Multiple Choice

I can verify solutions to systems of equations.

Is (3,6) a solution to the following system of equations?

$$y=-\frac{2}{3}x+8$$  

$$y=\frac{1}{3}x+5$$  

• Yes

• No

Multiple Choice

I can verify solutions to systems of equations.

Is (-5,1) a solution to the following system of equations?

$$y=x+6$$  

$$y=-\frac{3}{5}x-1$$  

• Yes

• No

Draw

Graph the following system of equations. Mark where the lines intersect with a yellow dot and write the point's coordinates down.

$$y=-x+2$$  

$$y=\frac{3}{5}x-6$$  

Multiple Choice

Using your graphs from the previous problem, what is the solution to the following system of equations?

$$y=-x+2$$  

$$y=\frac{3}{5}x-6$$  

• (-5, 3)

• (-5, -3)

• (5, -3)

Draw

Graph the following system of equations. Mark where the lines intersect with a yellow dot and write the point's coordinates down.

$$y=x-4$$  

$$y=-\frac{1}{5}x+2$$  

Multiple Choice

Using your graphs from the previous problem, what is the solution to the following system of equations?

$$y=x-4$$  

$$y=-\frac{1}{5}x+2$$  

• (1, 5)

• (5, 1)

• (5, -1)

Multiple Choice

​I can solve systems with one solution, no solution, or infinitely many solutions.

The following system of equations has how many solutions?

$$y=x+4$$  

$$y=-\frac{3}{2}x-1$$  

• One

• Zero

• Infinitely Many

Multiple Choice

​I can solve systems with one solution, no solution, or infinitely many solutions.

The following system of equations has how many solutions?

$$y=x+4$$  

$$2y-2x=8$$  

• One

• Zero

• Infinitely Many

Multiple Choice

​I can solve systems with one solution, no solution, or infinitely many solutions.

The following system of equations has how many solutions?

$$y=x+5$$  

$$2y-2x=8$$  

• One

• Zero

• Infinitely Many