About Solving Systems by Graphing:

When we encounter a system of linear equations, we use graphing, substitution, elimination, or matrix methods. When we use the graphing method, we graph each equation separately, then find the point of intersection. This will be our solution for the system.


Test Objectives
  • Demonstrate an understanding of a system of linear equations
  • Demonstrate the ability to solve a system of linear equations by graphing
  • Demonstrate the ability to check the solution for a system of linear equations
Solving Systems by Graphing Practice Test:

#1:

Instructions: Solve each linear system by graphing.

a) x + 3y = 9 : 2x - y = 4


#2:

Instructions: Solve each linear system by graphing.

a) 2x + y = 3 : y = -3


#3:

Instructions: Solve each linear system by graphing.

a) 3x - 2y = -6 : x + 4y = -16


#4:

Instructions: Solve each linear system by graphing.

a) x + y = -1 : x = 2


#5:

Instructions: Solve each linear system by graphing.

a) 3x + y = 1 : -9x - 3y = -12


Written Solutions:

#1:

Solutions:

a) (3,2)

(3,2) is the solution

#2:

Solutions:

a) (3,-3)

(3,-3) is the solution

#3:

Solutions:

a) (-4,-3)

(3,2) is the solution

#4:

Solutions:

a) (2,-3)

(2,-3) is the solution

#5:

Solutions:

a) No Solution

(2,-3) is the solution