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91Ó°ÊÓ

Solve each system by the method of addition or subtraction.

3x–2y=11

3x–y=7

Short Answer

Expert verified

The solution of given system of equations is x = 1,y = –4.

Step by step solution

01

Step 1. Description of step.

Subtract 3x-2y=11from 3x-y=7and simplify to find the value of y.

(3x–y)–(3x–2y)=7–11

y=–4

02

Step 2. Description of step.

Substitute – 4 for into 3x-y=7and simplify.

3x–(–4)=7

3x=3

03

Step 3. Description of step.

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

3x3=33

x=1

Therefore, the solution of given system of equations is x = 1,y = –4.

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