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labwork [276]
2 years ago
9

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

Mathematics
1 answer:
tatuchka [14]2 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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