Question

The work of a student to solve the equation 2(6y − 3) = 20 + 6y is shown below:

Step 1: 2(6y − 3) = 20 + 6y
Step 2: 8y − 5 = 20 + 6y
Step 3: 2y − 5 = 20
Step 4: 2y = 25
Step 5: y = 12.5

In which step did the student first make an error and what is the correct step?

Step 2: 8y-5=10+3y
Step 2: 12y-6=20+6y
Step 3: 6y-3=2(18+3y)
Step 3: 2(6y-3)=18+3y

Answer 1

2(6y − 3) = 20 + 6y

Use the distributive property, which states a(b - c) = ab - ac

We should get:

2*6y - 2*3 = 20 + 6y

Which can be simplified to:

12y - 6 = 20 + 6y

That means the mistake was in step 2. The student didn't multiply the numbers and instead added the numbers.

Your answer is: Step 2: 12y-6=20+6y

Answer 2

Answer:

Step 2: 12y-6=20+6y

Step-by-step explanation:

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