Solving for Y: Key Concepts and Techniques

What is the main goal when solving equations with two variables?

• To find the exact values of X and Y

• To rewrite the equation in Y equals form

• To eliminate the variable X

• To combine all terms into a single number

If you have the equation y + 9 = x, what is the first step to isolate Y?

• Divide both sides by 9

• Multiply both sides by 9

• Subtract 9 from both sides

• Add 9 to both sides

In the equation y + 9 = x, what is the final form after isolating Y?

• y = -x + 9

• y = 9 - x

• y = x - 9

• y = x + 9

When isolating Y in the equation y + 3x = 5, what should you do first?

• Add 3x to both sides

• Subtract 3x from both sides

• Multiply both sides by 3

• Divide both sides by 3

In the equation y + 3x = 5, what is the correct form after isolating Y?

• y = 3x - 5

• y = -3x + 5

• y = 5 - 3x

• y = 5 + 3x

How do you convert a negative Y to a positive Y?

• Multiply or divide by -1

• Subtract 1 from both sides

• Multiply or divide by 1

• Add 1 to both sides

In the equation -y = -2x + 8, what is the final form after converting Y to positive?

• y = 2x + 8

• y = -2x + 8

• y = -2x - 8

• y = 2x - 8

What is the first step in solving the equation 2x + 4y = 7?

• Divide both sides by 4

• Subtract 2x from both sides

• Add 2x to both sides

• Multiply both sides by 4

After isolating the Y term in 2x + 4y = 7, what is the next step?

• Divide by 4

• Multiply by 4

• Add 4

• Subtract 4

In the equation 2x + 4y = 7, what is the simplified form of Y?

• y = 1/2x + 7/4

• y = 1/2x - 7/4

• y = -1/2x + 7/4

• y = -1/2x - 7/4