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3 years ago

Plz help.................

Mathematics

1 answer:

tatuchka [14]3 years ago

6 0

Answer:

x = - 12

Step-by-step explanation:

Given

$\frac{x}{x+4}$ + $\frac{7}{x-2}$ = 1

Multiply through by (x + 4)(x - 2) to clear the fractions

x(x - 2) + 7(x + 4) = (x + 4)(x - 2) ← expand using FOIL

x² - 2x + 7x + 28 = x² + 2x - 8

x² + 5x + 28 = x² + 2x - 8 ( subtract x² from both sides )

5x + 28 = 2x - 8 ( subtract 2x from both sides )

3x + 28 = - 8 ( subtract 28 from both sides )

3x = - 36 ( divide both sides by 3 )

x = - 12

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