Solve an equation for y when given an x and a y

The video tutorial explains how to solve for the variable Y in an equation. It begins by identifying terms that need to be subtracted to simplify the equation. The instructor then demonstrates subtracting 2X from both sides and explains the importance of maintaining balance in the equation. Next, the tutorial covers dividing by -5 to isolate Y, emphasizing the need to handle negative signs carefully. The final solution is presented as Y equals positive 2/5 X minus 6, with a brief explanation of the steps involved.

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

• Multiply both sides by 2X

• Subtract 2X from both sides

• Add 2X to both sides

• Divide both sides by 2X

After removing 2X, what does the equation become?

• 5Y = -2X - 3

• 5Y = 2X - 3

• -5Y = -2X + 3

• -5Y = 2X + 3

What operation is performed to isolate y in the equation -5Y = -2X + 3?

• Divide by -5

• Add 5

• Multiply by 5

• Subtract 5

What is the final expression for y after solving the equation?

• y = -5/2X - 6

• y = 5/2X + 6

• y = 2/5X - 6

• y = -2/5X + 6

Why can't you combine a number with a variable during addition or subtraction?

• Because they are different types of terms

• Because the variable is always zero

• Because the number is always negative

• Because the variable is always positive