Question

Question

Drag and drop the appropriate property next to the steps to justify each step.
6= 15
Division Property of Equality
Subtraction Property of Equality
21
Multiplication Property of Equality
11
Addition Property of Equality
X=105

Answer 1

`(x)/(5)-6=15`

(addition property of equality)

`(x)/(5)=21`

(multiplication property of equality)

`x=105`

Explanation:

Given:

`(x)/(5)-6=15\\(x)/(5)=21\\x=105`

To find: appropriate properties to justify each step

Solution:

According to division property of equality, if both sides of an equation are divided by the same nonzero number, the sides remain equal.

According to multiplication property of equality, if both sides of an equation are multiplied by the same nonzero number, the sides remain equal.

According to addition property of equality, if same number is added to both sides of an equation, the sides remain equal.

According to subtraction property of equality, if same number is from both both sides of an equation, the sides remain equal.

`(x)/(5)-6=15`

Add 6 to both sides ( addition property of equality )

`(x)/(5)-6+6=15+6\\\\(x)/(5)=21`

Multiply both sides by 5 (multiplication property of equality)

`(x)/(5)=21\\(x)/(5)(5)=21(5)\\ x=105`