Alexa M.

Student at Columbia University

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Writing

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Question:

How do I know when you use their or they're?

Alexa M.

Answer:

'Their' is used when referring to possession of something. 'They're' is a conjunction of the words 'they are'.

Pre-Algebra

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Question:

How do you multiply fractions?

Alexa M.

Answer:

To multiply fractions, you multiply the numerators, the numbers on the top of the fraction, and this is your new numerator. Then you multiply the denominators, the numbers on the bottom of the fraction, to find your new denominator. For example, 3/4*2/3=? First, multiply 3*2. This is 6. Then, multiply 4*3. This is 12. Your answer is then 6/12. This simplifies to 1/2.

Algebra

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Question:

How do you solve 2(5x-2)-(3x-2)=3x for x?

Alexa M.

Answer:

We will begin by working with the left side of the equation. First, you multiply (5x-2) by 2. You must distribute the 2, so this becomes 10x-4. Rewrite the entire equation as 10x-4-(3x-2)=3x. Now, you must distribute the -1 through (3x-2). Do this by multiplying 3x by -1 and -2 by -1. This becomes (-3x+2). Rewrite the entire equation as 10x-4-3x+2=3x. We can simplify by adding and subtracting numbers with the same variable and power. 10x-3x-4+2=3x becomes 7x-2=3x. Now, we want to get the variables on the same side of the equation. We can do this by subtracting 7x from both sides of the equation. 7x-2-7x=3x-7x -2=-4x To solve for x, we must divide both sides of the equation by -4. This becomes -2/-4=x which simplifies to x=1/2.

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