Solving for y: A Deep Dive into Algebraic Techniques

The video tutorial explains how to solve equations for the variable Y, focusing on isolating Y by removing other terms on the same side of the equation. It outlines a step-by-step process: removing constants, eliminating X terms, and dividing by the coefficient of Y. The tutorial includes multiple example problems to demonstrate these steps, emphasizing the importance of simplifying terms and understanding the operations involved.

What is the main goal when solving for y?

• To multiply all terms by y

• To combine like terms

• To isolate y by removing other terms on the same side

• To get rid of all constants

What is the first step in solving for y?

• Combine like terms

• Multiply by the coefficient of y

• Add or subtract constants

• Divide by the coefficient of y

How do you get rid of the x term when solving for y?

• By combining like terms

• By multiplying by x

• By adding or subtracting the x term

• By dividing by x

In the equation 3y = 10 + 2x, what is the next step to isolate y?

• Multiply each term by 3

• Subtract 10 from both sides

• Divide each term by 3

• Add 2x to both sides

What is the value of y in the equation 10y = 11 + 7x after dividing each term by 10?

• y = 11/7 + 10x

• y = 11/10 - 7/10x

• y = 11 + 7x

• y = 11/10 + 7/10x

In the equation X - y = 5, what is the assumed coefficient of X?

• 0

• 1

• 5

• X

What is the result of dividing -1y = 5 - 1X by -1?

• y = -5 + X

• y = 5 + X

• y = 5 - X

• y = -5 - X

In the equation -5y = 20 - 10x, what is the value of y after dividing each term by -5?

• y = -4 - 2x

• y = 4 - 2x

• y = -4 + 2x

• y = 4 + 2x

What is the slope (M) in the equation y = -6 + 10x?

• -10

• 10

• 6

• -6

In the equation y = 7/5 - 1/5x, what is the y-intercept (B)?

• -7/5

• 1/5

• 7/5

• -1/5