Question

2 x minus 5 y = 7 and 5 x minus 2y equals to 14 find x minus y​

Answer 1

Answer:

$x = \frac{16}{6} \: and \: y = \frac{ - 1}{3}$

Step-by-step explanation:

$2x - 5y = 7.........(1) \\ 5x - 2y = 14.......(2) \\ adding \: equation \: (1) \: and \: (2) \\ 7x - 7y = 21 \\ x - y = 3.......(3) \\ subtracting \: equation \: (1) \: from \: (2) \\ 3x + 3y = 7 \\ x + y = \frac{7}{3}.........(4) \\now \: adding \: equation \: (3) \: and \: (4) \\ 2x = \frac{7}{3} + 3 \\ \\2x = \frac{7 + 9}{3} \\ \\ 2x = \frac{16}{3} \\ therefore \\ x = \frac{16}{6} \\ put \: value \: of \: x \: in \: equation \: (4) \\ \frac{16}{6} + y = \frac{7}{3} \\ y = \frac{7}{3} - \frac{16}{6} \\ y = \frac{14}{6} - \frac{16}{6} \\ \ y = \frac{ - 2}{6} \\ y = \frac{ - 1}{3} \\ therefore \: \\ x = \frac{16}{6} \: and \: y = \frac{ - 1}{3}$

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