Question

Yusuf tried to solve an equation step by step.

A) 1/4r+2=10
B) 1/4r=12
C) Step 1: r=48
D) Step 2: 4/1r+2=10

Answer 1

The student made errors in solving the equation 1/4r + 2 = 10. The correct steps include subtracting 2 from both sides to get 1/4r = 8, then multiplying by 4 to find r = 32.

Step-by-step explanation:

The student appears to have made an error in their steps for solving an equation. Let's clarify the correct steps:

1. Starting with the equation 1/4r + 2 = 10, subtract 2 from both sides to isolate the term with the variable r.
2. You then have 1/4r = 8, not 12 as listed in step B.
3. Multiply both sides by 4 to solve for r, giving you r = 32, not 48 as in step C.

So, the correct steps are subtracting 2 from both sides and then multiplying by 4, which gives you the solution r = 32.

It looks like there was a misunderstanding with the numbers and operations used to solve the equation. When dealing with such problems, it's important to carefully follow algebraic rules and check each step for accuracy.