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Question

Difficulty: EasySolving One-Variable Linear Equations

Determine the value of the unknown variable in the following linear equation.

Answer:Solve the equation for mm:
4m−7=13 4m - 7 = 13

The correct value for mm is 【5】.

Answer

The value of the variable m is 5.
Applying the inverse operation by adding 7 to both sides gives 4m=204m = 20. Dividing by 4 isolates the variable, resulting in the correct value of 5.

Step-by-Step Solution

1
Add 7 to both sides of the equation.
4m=13+7⇒4m=204m = 13 + 7 \Rightarrow 4m = 20
To isolate the term with the variable (4m4m) on one side of the equation.
2
Divide both sides by 4.
m=204⇒m=5m = \frac{20}{4} \Rightarrow m = 5
To solve for mm by canceling out its coefficient.

Key Concept

Solving one-variable linear equations by applying inverse operations to isolate the variable.
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Topics

Solving One-Variable Linear Equations

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