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Chapter 6: Q10. (page 361)

Use substitution to solve each system of equations.

y=鈭�2x鈭�3x+y=9

Short Answer

Expert verified

The required solution is represented by x=鈭�12and y=21.

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

y=鈭�2x鈭�3......1x+y=9......2

02

Step 2. Take the help of equation (1) to get the value of x after it use the obtained value to get the value of y.

The equation (1) is representing the value of y in the form of an expression so use it for the equation (2) to extract the value of x.

x+鈭�2x鈭�3=9鈭�x鈭�3=9鈭�x=9+3x=鈭�12

Use the obtained value of x into equation (1) to get the value of y.

y=鈭�2鈭�12鈭�3=24鈭�3=21

03

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that is x=鈭�12, and y=21.

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Most popular questions from this chapter

Use elimination method to solve the given system of equation.

x+y=8x鈭�3y=鈭�4

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[5鈭�84鈭�62鈭�9]鈭�[6鈭�4鈭�3821]

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x+y=13x鈭�y=5

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