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Chapter 2: Q15. (page 69)

Solve each system by the method of addition or subtraction.

9x-2y=50

6x-2y=32

Short Answer

Expert verified

The solution of given system of equations is x = 6, y = 2.

Step by step solution

01

Step 1. Description of step.

Subtract 6x鈭�2y=32from 9x鈭�2y=50and simplify.

9x鈭�2y鈭�6x鈭�2y=50鈭�323x=18

02

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by 3 to find the value of x.

3x3=183x=6

03

Step 3. Description of step.

Substitute 6 for xinto 6x鈭�2y=32and simplify.

6脳6鈭�2y=3236鈭�2y=322y=4

04

Step 4. Description of step.

Divide each side of the equation obtained in step 3 by 2 to find the value of y.

2y2=42y=2

Therefore, the solution of given system of equations is x = 6, y = 2.

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