Question

x+y=12 and 2x=9(x-y)

solve for x & y

Answer 1

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SOLUTION-:
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$x - y = 12............(1) \\ 2x - = 9(x - y)........(2) \\using \: eq(1) \\ x = 12 + y \\ putting \: the \: value \: of \: x \: in \: eq(2) \\ 2x - = 9(x - y) \\ 2(12 + y) = 9(12 + y - y) \\ 24 + 2y = 108 \\ 2y = 108 - 24 \\ 2y = 84 \\ y = \frac{84}{2} \\ y = 42 \\ \\ - - - - - - - - - \\ now \: put \: the \: value \: of \: y \: in \: eq (1) \\ - - - - - - - - - - - - - - \\ x - y = 12 \\ x - 42 = 12 \\ x = 12 + 42 \\ x = 54 \\ - - - - - - - - - - - \\ we \: have \\ \: x = 54 \\ y = 42$


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