3x-5y=16 ; x-3y=8 eliminating method
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Answer:X = 2
Y = -2
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[tex]3x - 5y = 16.......(1) \\ x - 3y = 8........(2) \\ multiplying \: equation \: (2) \: by \: 3 \\ 3x - 9y = 24.......(3) \\ Substracting \: equation \: (1) \: from \: (2) \\ \: \: \: \: \: \: 3x - 9y = 24 \\ - \\ \: \: \: \: \: \: 3x - 5y = \: \: 16 \\ ( - ) \: \: \: ( +) \: \: \: \: \: \: \: ( - ) \\ ............................. \\ \: \: \: \: \: \: \: 0- 4y = 8 \\ - 4y = 8 \\ y = \frac{8}{ - 4} \\ y = -2 \\ substituting \: \: y = -2 in \: equation(1) \\ 3x - 5y = 16 \\ 3x - 5 \times -2 = 16 \\ 3x + 10 = 16 \\ 3x = 16 -10 \\ 3x = 6 \\ x =frac{6}{ 4} \\ x = 2
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