About Solving Systems by Graphing:

To solve a system of linear equations, we look for the point (x, y) of intersection. This point lies on both lines, making it a solution for the system. Using the graphing method, we graph each equation separately and find the point of intersection. This point is our solution to the system. We then verify our solution by substituting x and y into both original equations.

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) $$x + 3y = 9$$ $$2x - y = 4$$

Watch the Step by Step Video Solution  |  View the Written Solution

#2:

Instructions: Solve each linear system by graphing.

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

Watch the Step by Step Video Solution  |  View the Written Solution

#3:

Instructions: Solve each linear system by graphing.

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

Watch the Step by Step Video Solution  |  View the Written Solution

#4:

Instructions: Solve each linear system by graphing.

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

Watch the Step by Step Video Solution  |  View the Written Solution

#5:

Instructions: Solve each linear system by graphing.

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

Watch the Step by Step Video Solution  |  View the Written Solution

Written Solutions:

#1:

Solutions:

a) $$(3,2)$$ (3,2) is the solution

Watch the Step by Step Video Solution

#2:

Solutions:

a) $$(3,-3)$$ (3,-3) is the solution

Watch the Step by Step Video Solution

#3:

Solutions:

a) $$(-4,-3)$$ (3,2) is the solution

Watch the Step by Step Video Solution

#4:

Solutions:

a) $$(2,-3)$$ (2,-3) is the solution

Watch the Step by Step Video Solution

#5:

Solutions:

a) $$\text{No Solution}$$ (2,-3) is the solution

Watch the Step by Step Video Solution