Question

The value of x on solving the pair of equation 3x-5y=1 and 5x+2y=19 will be

Answer 1

$3x - 5y = 1 \\ y = \frac{1 - 3x}{ - 5} ...(1) \\ 5x + 2y = 19 \\ y = \frac{19 - 5x}{2} ...(2) \\ from \: (1) \: \: and \: \: (2) \\ \frac{1 - 3x}{ - 5} = \frac{19 - 5x}{2} \\ - 95 + 25x = 2 - 6x \\ 31x = 97 \\ \to \: x = \frac{97}{31} \\ 3 \frac{97}{31} - 5y = 1 \\ 291 - 155y = 31 \\ - 155y = - 260 \\ \to \: y = \frac{52}{31}$