Question

Solve the equation.
\qquad r - 14 = 23r−14=23

Answer 1

Answer:
`r=37`

Explanation:

For this exercise it is important to remember that:

1. The Addition property of equality states that:

If
`a=b`, then
`a+c=b+c`

2. The Subtraction property of equality states the following:

If
`a=b`, then
`a-c=b-c`

3. The Division property of equality states that:

If
`a=b`, then
`(a)/(c)=(b)/(c)`

4. The Multiplication property of equality states the following:

If
`a=b`, then
`a*c=b*c`

Then, having the following equation given in the exercise:

`r-14=23`

You need to solve for the variable "r" in order to find its value.

In order to solve for "r", you must apply the Addition property of equality adding 14 to both sides of the equation.

Therefore, you get the following solution:

`r-14+(14)=23+(14)\\\\r=37`