Question

6x+5y=11 3x-2y=12 Please Solve by Elimination method
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Answer 1

Answer:

$3x - 2y = 12 \\ multiplying \: both \: sides \: by \: 2 \\ 2(3x - 2y) = 12 \times 2 \\ 6x - 4y = 24 \\ 6x + 5y = 11 \\ subtracting \: both \: the \: equations \: \\ - 9y = 13 \\ y = \frac{ - 13}{9} \\ 3x - 2y = 12 \\ 3x - 2 \times \frac{ - 13}{9} = 12 \\ \frac{27x}{9} + \frac{26}{9} = 12 \\ 27x + 26 = 12 \times 9 \\ 27x = 108 - 26 \\ x = \frac{82}{27}$