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Chapter 2: Q4 (page 41)

Justify each step.

15y+7=12鈭�20y

35y+7=12

35y=5

y=17

Short Answer

Expert verified

15y+7=12鈭�20yGiven

35y+7=12Addition property of equality

35y=5Subtraction property of equality

y=17Division property of equality

Step by step solution

01

Step 1. Apply additional property of equality.

If a=band c=d, then a+c=b+d.

02

Step 2. Description of step.

Add 20yon each side of 15y+7=12鈭�20yand simplify.

15y+7+20y=12鈭�20y+20y

35y+7=12

03

Step 3. Apply the subtraction property of equality.

If a=band c=d, then a鈭�c=b鈭�d.

04

Step 4. Description of step.

Subtract 7 from each side of the equation obtained in step 2 to find the value of y.

35y+7鈭�7=12鈭�735y=5

05

Step 5. Apply division property of equality.

If a=band c鈮�0, then ac=bc.

06

Step 6. Description of step.

Divide each side of the equation obtained in step 4 by 35 to find the value of y.

35y35=535y=17

Therefore, the value of y is 17.

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