Question

The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below: Step 1: 3(3y − 8) = 10 + 3y Step 2: 6y − 5 = 10 + 3y Step 3: 3y − 5 = 10 Step 4: 3y = 15 Step 5: y = 5 In which step did the student first make an error and what is the correct step?

Answer 1

Their error is in step 2. They added three to each number in (3y+8) instead of distributing it with multiplication. The correct step would be 9y-24=10y+3

Answer 2

In solving the equation 3(3y-8)=10+3y the student made an error in the second step and correct answer of the equation is that y=34/6.

What is equation?

An equation is a relationship between two or more variables expressed in equal to form. It is often solved to get the value of variables. Equation of two variables look like ax+ by=c.

How to solve equation?

We have been given equation of 3(3y-8)=10+3y and we need to solve them. The student  made the error is in second step when he multiplies 3 inside he wrote 6y-5=10+3y on the place of 9y-24=10+3y. Correct solution will be:

Step 1: 3(3y-8)=10+3y

Step 2:9y-24=10+3y

Step 3: 9y-3y=10+24

Step 4: 6y=34

Step 5: y=34/6

Hence the correct solution of the equation 3(3y-8)=10+3y is y=34/6.

Learn more about equations at https://brainly.com/question/2972832

#SPJ2