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3 years ago

Plz help i cant slove it

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:x=30

Step-by-step explanation:

So first you have to find x so add all your sides together:

Equation: 45+2x+0.5x+x=150

Combine like terms: 45+3.5x=150

Subtract 45 from -45 -45

both sides: 3.5x=105

Then divide by 3.5: x=30

Now that you have your x substitute it in:

2(30)=60

0.5(30)=15

and the last one is x=30

And there you have all your sides! If you wanna check it just add up all the sides and it should equal 150.

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Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

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$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

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$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

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$\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}$

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