Question

6x - 5y = 4
17x-2y=4​

Answer 1

$6x - 5y = 4 \\ 17x - 2y = 4 \\ \\ 6x - 5y = 4 \\ x = \frac{4}{17} + \frac{2}{17} y \\ \\ 6( \frac{4}{17} + \frac{2}{17} y) - 5y = 4 \\ \\ y = - \frac{44}{73} \\ \\ x = \frac{4}{17} + \frac{2}{17} \times ( - \frac{44}{73} ) \\ \\ x = \frac{12}{73} \\ \\ (x, y) = ( \frac{12}{73} , - \frac{44}{73} ) \\ \\ 6 \times \frac{12}{73} - 5 \times ( - \frac{44}{73} ) = 4 \\ 17 \times \frac{12}{73} - 2 \times ( - \frac{44}{73} ) = 4 \\ \\ 4 = 4 \\ 4 = 4 \\ \\ (x, y) = ( \frac{12}{73} , \frac{44}{73} )$