WEBVTT
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Alright, what I like to do is I want to show you guys how to solve a multi-step equation
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when you have fractional exponents or I'm sorry fractional coefficients.
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That means the number in front of your variables is fractions.
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Guys, the main important thing when I say first step is to simplify, that means you give
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a great rate of what's on your, what's your fractions.
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So guys, there's two different ways to do this.
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One thing is you can simplify and get rid of the fractions.
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That's going to, I'm going to show you guys one way.
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I'm going to do this twice.
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Okay?
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You guys can get rid of the fractions.
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How do you get rid of the fraction?
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You multiply by what's on the bottom.
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So, what's on the bottom of this denominator for my fraction?
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What's my denominator?
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Three.
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So multiply by three times everything.
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I'm going to put it as a fraction because I'm multiplying across.
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Therefore I get these three's cancel out.
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I'm going to get the variable on the same side.
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Add two beatable side.
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Now everybody should know what to do here.
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4b minus 18 equals 18.
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Two step equation.
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Add 18able sides.
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4b equals 36.
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Divide by four.
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D equals nine.
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So all you guys are going to do is forget about the fractions and just multiply by what's
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on the bottom or multiply by the reciprocal.
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Either way, get rid of the fraction.
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However guys, you don't even have to do this.
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This already has.
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The thing I like about this problem is that you have like denominators.
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Therefore, you guys can do the work with fractions.
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Why can't we add a two thirds of v?
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Yes.
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Now or no.
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I'm sorry.
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Hold on.
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You have a negative two thirds of v.
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You have to add two thirds on the both sides.
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So why can't you guys do that?
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We already learned how to add.
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You have to add two thirds of v on the both sides.
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Therefore now I get four thirds of v.
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Minus six equals six.
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Add the six to both sides.
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Therefore I get four thirds of t equals equal 12.
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Now, so guys, now what I have to do.
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What's happening to my variable?
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Please, what is happening to the variable?
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What does that four thirds do into the variable?
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Yes.
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It's multiplied by four thirds.
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So we have to divide by four thirds.
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But we don't ever divide our fractions, do we?
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Instead of dividing our fractions, we multiply by the reciprocal.
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So it is multiplied by the reciprocal.
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And therefore you get v equals 12.
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Put it over a frack, put over one 12 times three is 36.
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36 divided by four equals nine.
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Yes, your question.
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Can you spell it?
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No.
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So that is how you solve a multi-step equation.