Question

») If 5y = 25, which property of equality was used to

keep the equation 5y - 7 = 25 - 7 equal?

») Convince Me!

What other properties of equality could you apply to

keep the equation 5y = 25 equal? Give an example of

each.

Answer 1

I Have the same question

Explanation:

Answer 2

a. Subtraction property

b. Addition property and Multiplication property

Explanation:

Given

`5y = 25`

Solving (a): Which property is applied to
`5y-7 = 25-7`

The property applied is the subtraction property of inequality, and it states that:

If
`a = b`

Then

`a - x = b - x`

So, in this case:

`a = 5y, b = 25\ and\ x=7`

Solving (b): Other properties

1. The additive property of equality

If
`a = b`

Then

`a + x = b + x`

So, the expression can be written as:

`5y + 12 = 25 + 12`

When 12 is subtracted from both sides, the equation returns to the original

i.e.

`5y + 12 - 12 = 25 + 12 - 12`

`5y = 25`

2. The multiplication property of equality

If
`a = b`

Then

`a * x = b * x`

So, the expression can be written as:

`5y* 2 = 25 * 2`

`10y = 50`

When both sides are divided by 2, the equation returns to the original

i.e.

`(10y)/(2) = (50)/(2)`

`5y = 25`