Solving Linear Equations for y in Terms of x

What is the first step in solving for Y in the equation 6x + 5y = 20?

• Multiply both sides by 6

• Add 6x to both sides

• Divide both sides by 5

• Subtract 6x from both sides

Why do we subtract 6x from both sides in the equation 6x + 5y = 20?

• To eliminate the 6x term

• To add the x term to the other side

• To make the equation simpler

• To isolate the x term

What is the next step after subtracting 6x from both sides in the equation 6x + 5y = 20?

• Combine like terms

• Divide by 5

• Add 20 to both sides

• Multiply by 5

How do you handle the term 20 when dividing the equation by 5?

• Leave it as 20

• Divide it by 6

• Divide it by 5

• Multiply it by 5

What is the simplified form of the equation 6x + 5y = 20 after solving for y?

• y = -6/5x + 4

• y = 5/6x + 4

• y = -5/6x + 4

• y = 6/5x + 4

What is the first step in solving for Y in the equation 4x - 8y = 16?

• Divide both sides by 8

• Add 4x to both sides

• Subtract 4x from both sides

• Multiply both sides by 4

Why is it important to remember the negative sign in front of 8y in the equation 4x - 8y = 16?

• It affects the final answer

• It changes the value of x

• It simplifies the equation

• It cancels out the x term

What is the next step after subtracting 4x from both sides in the equation 4x - 8y = 16?

• Combine like terms

• Divide by 8

• Add 16 to both sides

• Multiply by 8

How do you simplify the term -4x / -8?

• Leave it as -4/8

• Simplify it to 1/2

• Leave it as 4/8

• Simplify it to -1/2

What is the simplified form of the equation 4x - 8y = 16 after solving for y?

• y = -1/2x - 3/4

• y = 1/2x + 3/4

• y = -1/2x + 3/4

• y = 1/2x - 3/4