Systems of Linear Equations by Graphing

Systems of Equations

​The graphing method

Multiple Choice

What kind of lines are these?

• Parallel lines

• Line segments

• Perpendicular Lines

• Intersecting lines

What is a system of Linear Equations?

A system of linear equations is 2 or more linear equations with the same variables.

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Systems of Equations



-A system of equations is any set of equations in the same plane.

-To solve a system of equations means to find the points that make all of the equations in the system true.

-When you have two variables (x and y) you need two equations to solve the system.

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​Where do the graphed lines intersect?

​Where do the graphed lines intersect?

Multiple Choice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Multiple Choice

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Multiple Choice

Solve by Graphing: What is the solution to this system?

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Multiple Choice

Which of the following shows the solution to the system?
 y= -1/4x + 4
y = 2x + 2

• A
• B
• C
• D

Multiple Select

$$y\ =\ -\frac{1}{2}x-2$$   $$y\ =-\frac{3}{2}x+2$$  

Solve system of equation by graphing

• x = 4

• y = -4

• No Solution

• y = 5. x = 4