Solving for Y: Practice Problems and Techniques

The video tutorial reviews solving equations for y, focusing on isolating y in two examples: -2x + 4y = 16 and 5x - y = -7. The instructor explains the steps to isolate y, emphasizing the importance of understanding the process for future units involving graphing lines. The tutorial concludes with encouragement to practice the skill.

What is the first step in solving the equation -2x + 4y = 16 for y?

• Divide both sides by 4

• Subtract 16 from both sides

• Add 2x to both sides

• Multiply both sides by -2

Why do we add 2x to both sides when solving -2x + 4y = 16?

• To isolate x

• To cancel out the -2x on the left side

• To make the equation simpler

• To get rid of the 16

What do we do after moving -2x to the other side in the equation -2x + 4y = 16?

• Divide both sides by 4

• Combine like terms

• Divide both sides by 2

• Subtract 16 from both sides

What is the simplified form of 2x divided by 4?

• 2x

• x/2

• 4x

• 1/2x

In the equation 5x - y = -7, what is the first step to isolate y?

• Multiply both sides by 5

• Add 7 to both sides

• Subtract 5x from both sides

• Divide both sides by -1

Why do we subtract 5x from both sides in the equation 5x - y = -7?

• To cancel out the 5x on the left side

• To get rid of the -7

• To isolate x

• To make the equation simpler

What is the next step after subtracting 5x from both sides in the equation 5x - y = -7?

• Divide both sides by -1

• Combine like terms

• Multiply both sides by 5

• Add 7 to both sides

What is the result of dividing -5x by -1?

• 5x

• x

• -5x

• -x

What is the final form of the equation 5x - y = -7 after isolating y?

• y = 5x - 7

• y = 5x + 7

• y = -5x - 7

• y = -5x + 7

Why is it important to master the skill of isolating y in an equation?

• It is useful for graphing lines

• It helps in solving quadratic equations

• It simplifies multiplication

• It is required for unit 2