Solving a literal equation with a variable on the denominator (x+2)/y = 2, for x

Solving a literal equation with a variable on the denominator (x+2)/y = 2, for x

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a literal equation involving fractions by using inverse operations. It begins with addressing common student concerns about fractions, then demonstrates how to eliminate the fraction by multiplying both sides of the equation. The tutorial continues by simplifying the equation and concludes with isolating the variable X to find the solution.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation that needs to be solved for X?

X / 2 + y = 2

X * 2 / y = 2

X + 2 / y = 2

X - 2 / y = 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to eliminate the fraction in the equation?

Multiplication

Subtraction

Addition

Division

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is Y/1 used in the multiplication process?

To make the equation more complex

To divide the equation by Y

To add a fraction to the equation

To clarify that Y is being multiplied

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after eliminating the fraction to solve for X?

Multiply both sides by 2

Subtract 2 from both sides

Divide both sides by 2

Add 2 to both sides

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for X in the equation?

X = 2Y - 2

X = 2Y + 2

X = Y + 2

X = Y - 2