Question

Difficulty: EasySolving One-Variable Linear Equations

If 4(k−3)=284(k - 3) = 28, what is the value of kk?

Answer: 10

Answer

10
Applying inverse operations to isolate the variable results in k=10k = 10. This can be verified by substituting 10 back into the original equation: 4(10−3)=4(7)=284(10 - 3) = 4(7) = 28, which makes the statement true.

Step-by-Step Solution

1
Divide both sides by 4.
k−3=7k - 3 = 7
Dividing by the coefficient outside the parentheses simplifies the equation and isolates the binomial.
2
Add 3 to both sides of the equation.
k=10k = 10
Using the inverse operation of subtraction isolates the variable kk.

Key Concept

Solving One-Variable Linear Equations
Rate this question