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Solve the following pair of equations algebraically: $101x + 102y = 304$, $102x + 101y = 305$
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Adding equations we get $x+y=3$ ($\frac{1}{2}$ mark). Subtracting equations we get $-x+y=-1$ ($\frac{1}{2}$ mark). Solving to get $x=2$ and $y=1$ ($\frac{1}{2} + \frac{1}{2}$ marks).