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Chapter 2: Q10. (page 69)

Solve each system by the method of addition or subtraction.

5x鈥�y=20

3x+y=12

Short Answer

Expert verified

The solution of given system of equations is x = 4, y = 0.

Step by step solution

01

Step 1. Description of step.

Add 5x-y=20and 3x+y=12and simplify.

(5x鈥�y)+(3x+y)=20+12

8x=32

02

Step 2. Description of step.

Divide each side of the equation obtained in step 1 by 8 to find the value of x.

8x8=328

x=4

03

Step 3. Description of step.

Substitute 4 for x into 3x+y=12, to find the value of y.

3脳4+y=12

12+y=12

y=0

Therefore, the solution of given system of equations is x = 4, y = 0.

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