How to solve your literal equation for the variable x in standard form 2x+7y=4 for x

The video tutorial demonstrates how to solve a literal equation for X. It begins by identifying the operations affecting X, such as multiplication by 2 and addition of 7Y. The instructor explains how to reverse these operations using the subtraction and division properties of equality. By subtracting 7Y from both sides and dividing by 2, the equation is simplified to solve for X. The tutorial concludes with a clear solution, emphasizing the importance of isolating the variable.

What is the first step in isolating the variable X in the given equation?

• Add 7Y to both sides

• Divide by 2 on both sides

• Subtract 7Y from both sides

• Multiply by 2 on both sides

Which property of equality is used when subtracting 7Y from both sides?

• Division property of equality

• Multiplication property of equality

• Subtraction property of equality

• Addition property of equality

After subtracting 7Y, what is the resulting equation before applying division?

• X = 7Y + 4

• 2X = -7Y + 4

• 2X = 7Y + 4

• X = -7Y + 4

What operation is necessary to isolate X after subtracting 7Y?

• Multiplication

• Subtraction

• Division

• Addition

What is the final expression for X after applying the division property?

• X = -7/2 Y + 2

• X = -7Y + 2

• X = 7/2 Y + 2

• X = 7Y - 2