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3 years ago

Solve the equation for x.

Mathematics

1 answer:

horrorfan [7]3 years ago

6 0

Answer:

X= -1

Step-by-step explanation:

$(\frac{1}{3} )(6x)+(\frac{1}{3} )(-15)=(\frac{1}{2} )(10x)+(\frac{1}{2} )(-4)$

(Distribute)

2x+−5=5x+−2

2x−5=5x−2

Step 2: Subtract 5x from both sides.

2x−5−5x=5x−2−5x

−3x−5=−2

Step 3: Add 5 to both sides.

−3x−5+5=−2+5

−3x=3

Step 4: Divide both sides by -3.

Which = -1

Hope this helps :)

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The partial fraction decomposition is $\frac{8x + 19}{(x + 8)(x - 1)} = \frac{5}{x + 8} + \frac{3}{x - 1}$

<h3>How to determine the decomposition?</h3>

The fraction is given as:

$\frac{8x + 19}{(x + 8)(x - 1)}$

Split the fraction as follows:

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{A}{x + 8} + \frac{B}{x - 1}$

Take the LCM

$\frac{8x + 19}{(x + 8)(x - 1)} = \frac{Ax -A + Bx + 8B}{(x + 8)(x -1)}$

Cancel the common factors

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brainly.com/question/12783868

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