VannKit: Solving Systems of Equations by Graphing

Solving Systems of Equations by Graphing

By Vann Kit

​Solve systems of equations by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Some text here about the topic of discussion

Multiple Select

$$y\ =\ -\frac{5}{3}x\ +\ 3$$   $$y\ =\ \frac{1}{3}x-\ 3$$  

Solve system of equation by graphing

• x = 3

• y = -2

• x = -2

• y = 3

Multiple Select

$$y\ =\ 4x+3$$   $$y\ =\ -x-2$$  

Solve system of equation by graphing

• x = -1

• y = -1

• x = 1

• y = 1

Multiple Select

$$y\ =\ -\frac{1}{2}x\ -1$$   $$y\ =\ \frac{1}{4}x-4$$  

Solve system of equation by graphing

• x = 4

• y = -3

• x = -4

• y = 3

Multiple Select

$$y\ =\ -1$$   $$y\ =\ -\frac{5}{2}x\ +4$$  

Solve system of equation by graphing

• x = 2

• y = -1

• x = 1

• y = 1

Multiple Select

$$y\ =\ 3x-4$$   $$y\ =\ -\frac{1}{2}x\ +3$$  

Solve system of equation by graphing

• x = 2

• y = 2

• x = 3

• y = 5

Multiple Select

$$y\ =\ -2x+2$$   $$y\ =\ -2x-2$$  

Solve system of equation by graphing

• x = 2

• y = 2

• No Solution

• y = 5. x = 4

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

Multiple Select

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

Solve system of equation by graphing

• x = 2

• y = 2

• x = 3

• y = -2