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Solve each proportion for the variable.$\frac{4 x-8}{3}=\frac{8}{x-3}$

$\{0,5\}$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 5

Ratio and Proportion

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

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University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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00:30

Solve each proportion.…

00:23

Solve each proportion for …

00:21

00:36

00:14

00:20

Solve each proportion. Che…

00:34

Solve the proportions.…

00:42

01:27

02:36

we're being asked Assault the given proportion for acts. To do this, we're gonna find the cross products. So first we need to multiply for X minus e by X minus three. So for X minus E times X minus three And this will be equal to our other cross product, which is three times eight, which is 24. So on the left hand side, we need to multiply that you by no meals. So I'm going to use the foil method. Well. Four x Times X is for X word four x times negative three is negative. 12 x negative eight times x is negative. A ducks and negative eight times negative. Three is positive. 24 and it's equal to zero. Well, now I can combine my life terms Well. Negative 12 x minus eight X is negative. 20 x So we're left with four X squared minus 20 X plus 24 is equal to look. I realised that should not have been zero there. That should been 24 from before. Apologize built that. Okay. Now, as you can see, we have a quadratic equation, so we have to set it equal to zero. So I'm going to subtract 24 from both sides. Well, 24 minutes 24 0 So they cancel out. So we're left with four X squared minus 20 X is equal to zero. And now we can go ahead and solve this equation by factory. So I know I can see that we have a greatest common factor of four X. So manufacture out for X and let me divide both turns by four x were left with X minus five. Now we could set both far factors equal to zero. So for extra vehicle does zero or X minus five could be equal to zero. And now we solve these equations. So first, I'm gonna divide both sides by four and zero. Divided by four is zero. So one of our solutions is X equals zero. To solve our second equation, we're gonna add five to both sides and zero plus five is five. So our our solution is five. So are two solutions are zero

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