Question

What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive property,inverse property of mulplication,commutative property of addition

Answer 1

Addition Property of Equality.

Inverse property of multiplication.

Explanation:

Given the equation:

`7y-15=-29`

First of all, let us use Addition Property of Equality.

According to the property, if we add a number on both sides of an equality, there is no change in the equality.

In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.

First of all, let us add 15 on both sides of the equality:

`7y-15+15=-29+15\\\Rightarrow 7y=-14`

Now, let us Inverse property of multiplication.

i.e. Multiplication of a number with its inverse is equal to 1.

`a* (1)/(a) = 1`

So, let us multiply the given equation with
`\frac{1}7`

`7y * (1)/(7)=-14 * (1)/(7)\\\Rightarrow 1y =-2\\\Rightarrow y=-2`

The properties used are:

Addition Property of Equality.

Inverse property of multiplication.