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Thepotemich [5.8K]
3 years ago
8

If Ac=48, determine Ab

Mathematics
1 answer:
Zanzabum3 years ago
5 0

Answer:

AB = 9

AC = AB + BC

AB = 2x - 3

BC = 5x + 9

AC = 48

AC = (2x - 3) + (5x + 9)

2x - 3 + 5x + 9 = 48

2x + 5x = 48 + 3 - 9

7x = 42

x = 42 : 7

x = 6

AB = 2x - 3

AB = 2 · 6 - 3

AB = 12 - 3

AB = 9

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Step-by-step explanation:

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Step 1: factorise the denominator

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\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}

Multiply both sides by (x - 1)(x - 4)

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Step 3:

Substituting x = 4 in 2x + 3 = A(x - 4) + B(x - 1)

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