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Anika [276]
3 years ago
12

b}{a+2b} = \frac{4}{3}" alt="\frac{a-3b}{a+2b} = \frac{4}{3}" align="absmiddle" class="latex-formula">

what is the value of a:b??
Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

a:b = -17:1

Step-by-step explanation:

Given

\frac{a-3b}{a+2b} = \frac{4}{3}

Required

Find a:b

\frac{a-3b}{a+2b} = \frac{4}{3}

Cross Multiply

3(a-3b) = 4(a+2b)

Open brackets

3a - 9b = 4a + 8b

Collect Like Terms

3a - 4a = 8b+9b

-a = 17b

Divide through by -b

\frac{-a}{-b} = \frac{17b}{-b}

\frac{a}{b} = \frac{17}{-1}

\frac{a}{b} = \frac{-17}{1}

Represent as a ratio

a:b = -17:1

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