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Chapter 2: Q13. (page 69)

Solve each system by the method of addition or subtraction.

7x+y=29

5x+y=21

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Description of step.

Subtract 5x+y=21from 7x+y=29and simplify.

(7x+y)鈥�(5x+y)=29鈥�21

2x=8

02

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by 2 to find the value of x.

2x2=82

x=4

03

Step 3. Description of step.

Substitute for x into 5x+y=21, to find the value of y.

5脳4+y=21

20+y=21

y=1

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

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