The property used in step 1 was distributive property
The property used in step 2 was subtraction property of equality
The property used in step 3 was division property of equality .
Given :
we are given with steps to solve linear equation
The steps are
[tex]\frac{1}{3} (12x+15)=7\\Step 1 : 4x+5=7\\Step 2 : 4x=2\\Step 3 : x= \frac{1}{2}[/tex]
Lets analyze each step
In step 1. 1/3 is multiplied inside the parenthesis part
Fraction is distributed inside the parenthesis
The property used in step 1 was distributive property
In step 2, 5 is subtracted from both sides
The property used in step 2 was subtraction property of equality
In step 3: 4 is divided on both sides
The property used in step 3 was division property of equality .
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