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Chapter 2: Q11 (page 69)

Solve each system by the method of addition or subtraction.

x+3y=7

x+2y=4

Short Answer

Expert verified

The solution of given system of equations is x = –2, y = 3.

Step by step solution

01

Step 1. Description of step.

Subtract x+2y=4from x+3y=7and simplify.

(x+3y)–(x+2y)=7–4

y=3

02

Step 2. Description of step.

Substitute 3 for y into x+3y=7, to find the value of x.

x+3×3=7

x+9=7

03

Step 3. Description of step.

Subtract 9 from both the sides of the equation obtained in step 2 to find the value of x.

x+9–9=7–9

x=–2‎

Therefore, the solution of given system of equations is x = –2, y = 3.

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