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Chapter 6: Q6. (page 361)

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

x鈭�4y=鈭�6y=鈭�1

Short Answer

Expert verified

The required solution is represented by 鈭�10,鈭�1.

Step by step solution

01

Step 1. Make the required graph and determine the intersection point.

Represent the provided equations in the form of graphs.

Graph of the provided equations are meeting at only one point that is鈭�10,鈭�1.

02

Step 2. Perform the checking.

The obtained solution is 1 in count that is why the provided equation has only one solution. The obtained point is in the form of x,y so perform substitution of the obtained values of x and y into both of the provided equations for checking.

role="math" localid="1647514059948" 鈭�10鈭�4鈭�1=?鈭�6鈭�10+4=?鈭�6鈭�6=鈭�6True

鈭�1=鈭�1True

03

Step 3. Write the conclusion.

As the substitution of obtained solution returns a true statement so it is the required solution.

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Most popular questions from this chapter

Use elimination to solve each system of equations.

x+y=13x鈭�y=5

Julie subscribes to a sports magazine and a fashion magazine. She received 24 issues this year. The number of fashion issues is 6 less than twice the number of sports issue. Define the variables, and write a system of equations to find the number of issues in each magazine.

Graph each system and determine the number of solutions that it has. If it has one solution, name it.

鈭�3x+y=鈭�3y=x鈭�3

State whether each sentence is true or false. If false, replace the underlined term to make a true sentence.

A set of two or more inequalities with the same variables is called a system of equations.

Determine the best method to solve each system of equations. Then solve the system.

6x+5y=9鈭�2x+4y=14
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