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Chapter 6: Q17. (page 361)

Use elimination to solve each system of equations.

x+3y=11x+7y=19

Short Answer

Expert verified

The required solution is represented by x=5and y=2.

Step by step solution

01

Step 1. Number the provided equations.

Make consideration that,

x+3y=11......1x+7y=19......2

02

Step 2. Perform addition between the provided equations to get the value of y after it use the obtained value to get the value of x.

Perform addition between the equation (1) and equation (2) to extract the value of y.

x+7y鈭�x+3y=19鈭�11x+7y鈭�x鈭�3y=87y鈭�3y=84y=8y=84y=2

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

x+7鈰�2=19x+14=19x=19鈭�14x=5

03

Step 3. Write the conclusion.

The obtained value of x and y represents the required solution that is x=5 and y=2.

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