### About Solving Systems of Linear Equations by Graphing:

When we solve a system of linear equations by graphing, we begin by graphing each equation. We then look to find the point of intersection. This point satisfies both equations and is, therefore, the solution to the system. Graphing is the least efficient method to use. In most cases, we want to use an algebraic method such as substitution, or elimination.

Test Objectives

- Demonstrate the ability to graph a linear equation in two variables
- Demonstrate the ability to find the point of intersection
- Demonstrate the ability to check the solution for a system of linear equations

#1:

Instructions: Solve each linear system by graphing.

a) $$3x + 2y=8$$ $$x - 4y=12$$

Watch the Step by Step Video Solution View the Written Solution

#2:

Instructions: Solve each linear system by graphing.

a) $$13x - 3y=-18$$ $$2x - 3y=15$$

Watch the Step by Step Video Solution View the Written Solution

#3:

Instructions: Solve each linear system by graphing.

a) $$6x - 7y=28$$ $$2x - \frac{7}{3}y=\frac{49}{3}$$

Watch the Step by Step Video Solution View the Written Solution

#4:

Instructions: Solve each linear system by graphing.

a) $$17x - 3y=27$$ $$2x - 3y=-18$$

Watch the Step by Step Video Solution View the Written Solution

#5:

Instructions: Solve each linear system by graphing.

a) $$10x - 7y=-21$$ $$2x - 14y=84$$

Watch the Step by Step Video Solution View the Written Solution

Written Solutions:

#1:

Solutions:

a) {(4,-2)}: x = 4, y = -2

Watch the Step by Step Video Solution

#2:

Solutions:

a) {(-3,-7)}: x = -3, y = -7

Watch the Step by Step Video Solution

#3:

Solutions:

a) No solution : ∅

Watch the Step by Step Video Solution

#4:

Solutions:

a) {(3,8)}: x = 3, y = 8

Watch the Step by Step Video Solution

#5:

Solutions:

a){(-7,-7)}: x = -7, y = -7