Question

solve the following equation using elimination method "3x-y=7, 1/2x+y=7"​

Answer 1

Answer:

$3x - y = 7 \: \: \: ..........1\\ \frac{x}{2} + y = 7 \: \: \: ..........2 \\add \: 1 \: and \: 2 \\ 3x - y + ( \frac{x}{2} + y) = 7 + 7 \\ 3x - y + \frac{x}{2} + y = 14 \\ 3x - \frac{x}{2} =14 \\ \frac{6x + x}{2} = 14\\ 7x = 14(2) \\ x = \frac{28}{7} \\ x = 4 \\ now \: put \: the \: value \: of \: x \: in \: 1 \\ 3(4) - y = 7 \\ 12 - 7 = y \\ y = 5$

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