Question

felix tried to solve an equation step by step.

\\2(5g - 1) = 3\\

\\5g - 1 = 1.5\\ step 1

\\5g = 2.5\\ step 2

\\g = 0.5\\ step 3

Explanation:

Analyze Step 1

Using the Linear Equations and Error Analysis in Equations knowledge points:
Felix divides both sides of \(2(5g - 1) = 3\) by \(2\).

$$ \frac{2(5g - 1)}{2} = \frac{3}{2} \implies 5g - 1 = 1.5 $$

This step is correct.

Analyze Step 2

Using the Two-Step Equations and Error Analysis in Equations knowledge points:
Felix adds \(1\) to both sides of \(5g - 1 = 1.5\).

$$ 5g - 1 + 1 = 1.5 + 1 \implies 5g = 2.5 $$

This step is correct.

Analyze Step 3

Using the Two-Step Equations and Error Analysis in Equations knowledge points:
Felix divides both sides of \(5g = 2.5\) by \(5\).

$$ \frac{5g}{5} = \frac{2.5}{5} \implies g = 0.5 $$

This step is correct.

Determine the final result

Since all steps are mathematically correct, Felix's solution is correct.

Answer:

Felix's solution is correct. All steps are correct.