Question

after entering the above in canvas....remember, when solving multi-step equations it is important to show all steps every time. often, one persons thinking is a little different than anothers and a simple mistake is made...but they dont show all of the steps so we cant help them. please circle the step where the error is made (try to identify what they did). then, use the blank box on the right to resolve the entire problem, showing all of the steps.

1. $2(5g - 1) = 3$

step 1 $5g - 1 = 1.5$
step 2 $5g = 2.5$
step 3 $g = 5$
$2(5g - 1) = 3$

1. $\frac{1}{4}r + 2 = 10$

step 1 $\frac{1}{4}r = 12$
step 2 $r = 48$
$\frac{1}{4}r + 2 = 10$

Explanation:

First Equation: $2(5g - 1) = 3$

Step1: Identify error step

Error in Step3: Divided incorrectly.

Step2: Divide both sides by 2

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

Step3: Add 1 to both sides

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

Step4: Divide by 5

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

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Second Equation: $\frac{1}{4}r + 2 = 10$

Step1: Identify error step

Error in Step1: Added instead of subtracting.

Step2: Subtract 2 from both sides

$\frac{1}{4}r + 2 - 2 = 10 - 2$
$\frac{1}{4}r = 8$

Step3: Multiply by 4

$\frac{1}{4}r \times 4 = 8 \times 4$
$r = 32$

Answer:

1. For $2(5g - 1) = 3$: Error in Step 3, correct solution is $g = 0.5$
2. For $\frac{1}{4}r + 2 = 10$: Error in Step 1, correct solution is $r = 32$