How to solve a literal equation when the variable is in the denominator (3-y)/x = 5 for x

How to solve a literal equation when the variable is in the denominator (3-y)/x = 5 for x

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an equation for X when X is in the denominator. It begins by introducing the problem and then demonstrates how to remove X from the denominator by multiplying both sides of the equation. The tutorial continues by simplifying the equation, showing how X in the numerator and denominator cancel each other out. Finally, it guides through the steps to isolate X and solve the equation, emphasizing the importance of writing variables in a standard form.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step to solve for X when it is in the denominator?

Add X to both sides

Multiply both sides by X

Divide both sides by X

Subtract X from both sides

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it helpful to write X/1 when moving X to the numerator?

To add more variables

To eliminate X from the equation

To visualize X in the numerator

To make the equation more complex

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when X is both in the numerator and the denominator?

It equals one

It equals zero

It equals X

It equals infinity

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to isolate X after simplifying the equation?

Subtract 5

Divide by 5

Add 5

Multiply by 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the final expression for X typically written?

With the variable at the end

With the variable in front

With the variable omitted

With the variable in the middle