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emmasim [6.3K]
2 years ago
11

Does anyone know how to do the rest?​

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
3 0

Answer/Step-by-step explanation:

Given:

\frac{4}{x} - \frac{3}{y} = 1 ---› Equation 1

\frac{8}{x} + \frac{9}{y} = 7 ---› Equation 2

Solution:

✔️Equation 1 × 3:

\frac{4}{x}*3 + \frac{3}{y}*3 = 1*3

\frac{12}{x} + \frac{9}{y} = 3 ---› Equation 3.

✔️Equation 2 + Equation 3:

\frac{8}{x} + \frac{9}{y} = 7 ---› Equation 2

\frac{12}{x} + \frac{9}{y} = 3 ---› Equation 3.

Thus:

\frac{-4}{x} = 10

Cross multiply

10x = -4

Divide both sides by 10

x = -\frac{4}{10}

x = -\frac{2}{5}

✔️Find y:

Substitute x = -2/5 into equation 1

\frac{4}{x} - \frac{3}{y} = 1 ---› Equation 1

\frac{4}{\frac{-2}{5}} - \frac{3}{y} = 1

\frac{4}*{\frac{5}{-2}} - \frac{3}{y} = 1

-10 - \frac{3}{y} = 1

Add 10 to both sides

- \frac{3}{y} = 1 + 10

\frac{-3}{y} = 11

Cross multiply

11y = -3

Divide both sides by 11

y = -\frac{3}{11}

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