Solving System of Equations by Graphing

System of equations by graphing

​The first video is a video on what a system is and how to solve graphing.

The second video will show you how to fid the solution using desmos.

I want you to open a new tab and open Demos, so that you can graph the equations I have provided for you on the slides.

yes you can use desmos on a different device!

Fill in the Blank

What is the solution to the system

y = x -8

y = -2x + 1

**Be sure your answer is an ordered pair with no spaces example (1,2)

Fill in the Blank

What is the solution to the system

$$y\ =\ \frac{1}{2}x+9$$  

$$y\ =\ -x\ +6$$  

**Be sure your answer is an ordered pair with no spaces example (1,2)

Multiple Choice

What is the solution to the system below:

$$y\ =\ 4x\ -10$$  
$$y\ =\ 4x\ -10$$  

• No solution

• (-3,2)

• (2,3)

• infinite solution

Fill in the Blank

What is the solution to the system:

$$-2x\ +\ 3y\ =\ -9$$  

$$-2x+3y\ =\ -9$$  

**Be sure your answer is an ordered pair with no spaces example (1,2)

Fill in the Blank

What is the solution to the system:

-3x + y = 8

-x + y = -2

**Be sure your answer is an ordered pair with no spaces example (1,2)

Multiple Choice

What is the solution to the system:

$$x\ +\ 2y\ =\ 4$$  

$$x\ +\ 2y\ =\ 4$$  

**Be sure your answer is an ordered pair with no spaces example (1,2)

• infinite 

• (0, 2)

• no solution

• (2, 0)

Multiple Choice

What is the solution to the system below:

$$x\ +\ 3y\ =\ -15$$  

$$x\ +\ 3y\ =\ -15$$  
**Be sure your answer is an ordered pair with no spaces example (1,2)

• ( -6, -7) 

• (6, -7)

• ( -7, 6) 

• ( -7, -6) 

Multiple Choice

What is the solution to the system below:

$$y\ =\ x\ +\ 5$$  

$$y\ =\ x\ +\ 5$$  
**Be sure your answer is an ordered pair with no spaces example (1,2)

• infinite

• ( 5, 2) 

• ( 2, 5) 

• No solution

Fill in the Blank

Solve the system below:

3x - 5y = -35

2x + y = -6

**Be sure your answer is an ordered pair with no spaces example (1,2)