Question

Which properties should you use to solve the equation4x+2= 18 ?

Answer 1

Addition property of equality and multiplication property of equality

Explanation:

Addition Property of Equality: This property states that you can add or subtract the same value to both sides of an equation without changing its solution.

Here's the step-by-step solution, emphasizing the properties used:

Start with the equation:

4x + 2 = 18

Use the Addition Property of Equality to isolate the variable "x." Subtract 2 from both sides to move the constant term to the other side of the equation:

4x + 2 - 2 = 18 - 2

Simplify both sides by applying the Addition Property of Equality:

4x = 16

To further isolate "x," use the Multiplication Property of Equality, which states that you can multiply or divide both sides of an equation by the same nonzero value. Divide both sides by 4 to solve for "x":

(4x) / 4 = 16 / 4

Simplify both sides using the Multiplication Property of Equality:

x = 4

So, in solving the equation 4x + 2 = 18, you primarily used the Addition Property of Equality and the Multiplication Property of Equality to isolate and solve for "x."

Answer 2

x=4

4x+2=18

x has to be alone, so you dived both sides by 2

4x=18-2

4x=16

divide both sides by 4

x=4