Consider the following equations and name the property of equality used to solve for the variable.

a. x + 3.75 = 7

b. –3b = 18

c. m/5=-25

d. m – 4 = 9

The property of equality used to solve for the variables are the Division, Subtraction, Multiplication and Addition properties

We will consider each of the questions one after the other

To solve for the variable in the equation, we will subtract 3.75 from both sides, that is

The property of equality used to solve for the variable is the Subtraction property

To solve for the variable in the equation, we will divide both sides by –3, that is,

∴

The property of equality used to solve for the variable is the Division property

This can be written as

To solve for the variable, we will multiply both sides by 5

∴

The property of equality used to solve for the variable is the Multiplication property

To solve for the variable, we will add 4 to both sides, that is

∴

The property of equality used to solve for the variable is the Addition property

Hence, the property of equality used to solve for the variables are the Division, Subtraction, Multiplication and Addition properties

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Step-by-step explanation:

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step-by-step explanation:

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