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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 = 鈥�2, y = 3.

Step by step solution

01

Step 1. Description of step.

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

(x+3y)鈥�(x+2y)=7鈥�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脳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鈥�9=7鈥�9

x=鈥�2鈥�

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

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Most popular questions from this chapter

Copy everything shown and supply missing statements and reasons.

Given: 鈭�AODas shown

Prove: m鈭�AOD=m鈭�1+m鈭�2+m鈭�3

Proof:

State which postulate, definition, or theorem justifies the statement about the diagram.

If E is the midpoint of AF炉, then EC炉, bisects AF炉 .

State the converse of each conditional. Is the converse true or false?

If , then .

Copy everything shown and supply missing statements and reasons.

Given:ST=RN;IT=RU

Prove: SI=UN

Proof;

State which definition, postulate, or theorem justifies the statement about the diagram.

m鈭�1+m鈭�2=m鈭�BAC
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