Solving Equations and Clearing Fractions

The video tutorial explains how to solve the equation m = (y - 4) / (x - 3) for y. It begins by clearing fractions through multiplication, then simplifies the equation. An alternative method using proportions is discussed, leading to the same result. Finally, the tutorial demonstrates isolating y by adding 4 to both sides, resulting in the solution y = mx - 3m + 4.

What is the first step in solving the equation for y?

• Multiply both sides by x - 3

• Add 4 to both sides

• Subtract 3 from both sides

• Divide both sides by m

Why do we multiply both sides of the equation by x - 3?

• To add fractions

• To clear the fractions

• To divide the equation

• To subtract from both sides

How do you simplify the fraction y - 4 / x - 3?

• Add 4 to both sides

• Subtract 3 from both sides

• Multiply by x - 3

• Cancel common factors

What happens to the fraction y - 4 / x - 3 after simplification?

• It becomes 0

• It becomes x - 3

• It becomes y - 4

• It becomes 1

What is an alternative method to clear fractions from the equation?

• Cross multiplication

• Adding fractions

• Dividing by the numerator

• Subtracting fractions

What does cross multiplication help achieve in this context?

• It multiplies fractions

• It divides fractions

• It adds fractions

• It clears fractions

What operation is needed to isolate y on the right side of the equation?

• Subtract 4 from both sides

• Divide by 4

• Add 4 to both sides

• Multiply by 4

What is the result of adding 4 to both sides of the equation?

• y = mx - 4

• y = mx + 4

• y = mx - 3m + 4

• y = mx - 3

What is the final form of the equation for y?

• y = x - 3m

• y = m + 4

• y = mx - 3m + 4

• y = mx + 4

Which of the following is a correct form of the final equation?

• y = mx - 3m + 4

• y = mx + 3m

• y = mx - 4

• y = mx + 4