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Chapter 2: Q17. (page 69)

Solve each system by the method of addition or subtraction.

2y=3x-1

2y=x+21


Short Answer

Expert verified

The solution of given system of equations is x=11, y=16.

Step by step solution

01

Step 1. Description of step.

Subtract 2y=x+21from 2y=3x-1and simplify.

2y鈭�2y=3x鈭�1鈭�x+21

0=2x鈭�22

2x=22

02

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by to find the value of x.

2x2=222

x=11

03

Step 3. Description of step.

Substitute for into 2y=3x-1and simplify.

2y=3脳11鈭�1

04

Step 4. Description of step.

Divide each side of the equation obtained in step 3 by to find the value of y.

2y2=322

y=16

Therefore, the solution of given system of equations is x=11, y=16.

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