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Chapter 2: Q.14 (page 69)

Solve each system by the method of addition or subtraction.

8x鈥�y=176x+y=11

Short Answer

Expert verified

The solution of given system of equations is x=2, y=鈥�1.

Step by step solution

01

Step 1. Description of step.

Add 8x鈥�y=17and 6x+y=11and simplify.

(8x鈥�y)+(6x+y)=17+11

14x=28

02

Step 2. Description of step.

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

14x14=2814

x=2

03

Step 3. Description of step.

Substitute 2 for x into 6x+y=11, to find the value of y.

6脳2+y=1112+y=11y=鈭�1

Therefore, the solution of given system of equations is x=2, y=鈥�1.

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