Question
Solve for x and y:
$\frac{\text{2x}+\text{5y}}{\text{xy}}=6,$
$\frac{\text{4x}-\text{5y}}{\text{xy}}=-3$
$\frac{\text{2x}+\text{5y}}{\text{xy}}=6,$
$\frac{\text{4x}-\text{5y}}{\text{xy}}=-3$
✓
Answer
The given equations are: $\frac{\text{2x}+\text{5y}}{\text{xy}}=6$ $\Rightarrow\frac{2}{\text{y}}+\frac{5}{\text{x}}=6\ \dots(\text{i})$ $\frac{\text{4x}-\text{5y}}{\text{xy}}=-3$ $\Rightarrow\frac{4}{\text{y}}-\frac{5}{\text{x}}=-3\ \dots(\text{ii})$ Adding (i) and (ii), we get $\frac{6}{\text{y}}=3$ $\Rightarrow\text{y}=2$ Substituting y = 2 in (i), we get x = 1Hence, x = 1 and y = 2
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