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Chapter 6: Q11. (page 361)

Use substitution to solve each system of equations.

x+y=6x鈭�y=8

Short Answer

Expert verified

The required solution is represented by x=7and y=鈭�1.

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

x+y=6......1x鈭�y=8......2

02

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

Perform addition of y on both sides of the equation (2) to get the value of x in the form of an expression.

x=8+y......3

Use the obtained value of x for the equation (1) to extract the value of y.

role="math" localid="1647520205682" 8+y+y=62y=6鈭�82y=鈭�2y=鈭�22=鈭�1

Use the obtained value of y into equation (3) to get the value of x.

x=8鈭�1=7

03

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that isx=7 and y=鈭�1.

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Most popular questions from this chapter

Solve each equation or formula for the variable specified.

2x+4y=12, for x

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If a system has no solution, it is said to be inconsistent.

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