Question

Which property of equality would be used to solve the equation -3x = 252?

addition
subtraction
multiplication
division

Answer 1

Answer: Division

Divide -3x by 3 and then divide 252 by 3.

Answer 2

Answer: Last option.

Explanation:

The Addition property of equality states that:

`If\ a=b\\then:\ a+c=b+c`

The Subtraction property of equality states that:

`If\ a=b\\then:\ a-c=b-c`

The Multiplication property of equality states that:

`If\ a=b\\then:\ a*c=b*c`

The Division property of equality states that:

`If\ a=b\\then:\ (a)/(c)=(b)/(c)`

This properties keep the equations balanced.

Given the equation
`-3x = 252`, you need to find the value of the variable "x", therefore, you must solve for "x".

To find its value, you need to apply the Divison property of equality: divide both sides of the equation by -3. Then:

`(-3x)/(-3)=(252)/(-3)\\\\x=-84`