Solving a rational Equation

The video tutorial explains how to solve the equation 1/X + 2 = 7. It begins by discussing the importance of removing X from the denominator, followed by multiplying both sides by X + 2. The distributive property is applied to simplify the equation, leading to a multi-step linear equation. The tutorial concludes with finding the final solution for X, which is -15/4.

What is the first step to solve the equation 1/X + 2 = 7?

• Add 2 to both sides

• Divide both sides by X + 2

• Subtract 2 from both sides

• Multiply both sides by X + 2

After multiplying both sides by X + 2, what property is applied to simplify the equation?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

What is the result of subtracting 3X from both sides of the equation?

• 0 = 3X + 14

• -1 = 3X + 14

• 0 = 4X + 14

• -1 = 4X + 14

What operation is performed after subtracting 14 from both sides?

• Subtraction of 4

• Addition of 4

• Division by 4

• Multiplication by 4

What is the final solution for X in the equation?

• X = 15/2

• X = -15/4

• X = 15/4

• X = -15/2