Making y the Subject of Equations

The video tutorial explains how to make y the subject of an equation involving x and y. It begins by eliminating fractions through multiplication, then rearranges terms to isolate y. The process involves factorization and concludes with y expressed in terms of x. The tutorial also prompts viewers to consider how to make x the subject.

What is the main goal of the problem discussed in the video?

• To solve for x in terms of y

• To make y the subject of the equation

• To eliminate all variables

• To find the value of x

What is the first step to simplify the equation involving fractions?

• Divide both sides by x

• Subtract the numerator from both sides

• Multiply both sides by the denominator

• Add fractions to both sides

After multiplying both sides by the denominator, what does the equation become?

• 2xy = 5y + x

• 2xy = x - 5y

• X - 5y = 2xy

• X + 5y = 2xy

What is the purpose of multiplying both sides by xy initially?

• To solve for x

• To make y the subject

• To eliminate fractions

• To add fractions

What is the next step after eliminating fractions to isolate y?

• Add 5y to both sides

• Subtract 5y from both sides

• Multiply both sides by 5

• Divide both sides by y

Why do we swap sides in the equation after rearranging terms?

• To eliminate x

• To make x the subject

• To simplify the equation

• To have y on the left side

What is the equation after subtracting 5y from both sides?

• 2xy + 5y = x

• 2xy - 5y = x

• x - 5y = 2xy

• x + 5y = 2xy

What is the purpose of factorizing the expression involving y?

• To eliminate y

• To make x the subject

• To simplify the equation

• To write y only once

What expression do we factor out from the terms involving y?

• 5

• x

• 2x

• y

What happens to the right-hand side of the equation during factorization?

• It changes to 0

• It is divided by y

• It remains the same

• It becomes negative