Solving an equation with two variables when one has a denominator

Solving an equation with two variables when one has a denominator

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve an equation involving fractions. It begins by setting up the equation and discussing different methods to handle fractions. The instructor chooses to eliminate fractions by multiplying all terms by a common factor. This simplification leads to a straightforward equation, which is then solved step-by-step. The final solution is presented in both fractional and decimal forms, providing a comprehensive understanding of the problem-solving process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial equation discussed in the video?

X/4 - X = -6

X/2 - X = -4

X/5 - X = -7

X/3 - X = -5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is one method mentioned to handle fractions in the equation?

Ignoring the fractions

Adding fractions directly

Multiplying by a common denominator

Rewriting the equation as a decimal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is performed to eliminate fractions from the equation?

Add 3 to all terms

Subtract 3 from all terms

Multiply all terms by 3

Divide all terms by 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After eliminating fractions, what is the simplified equation?

X - 3X = -15

X + 3X = 15

X - 2X = -10

X + 2X = 10

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for X after solving the simplified equation?

X = 8.5

X = 5.5

X = 7.5

X = 6.5