Question

3x-5y=4, 9x-2y=7 solve by elemenation method​

Answer 1

HEY MATE YOUR ANSWER IS HERE..

$3x - 5y = 4 \: - - - - \: eq1 \\ \\ 9x - 2y = 7 \: - - - - \: eq2$

★ NOW BY ELEMINATION METHOD ★

EQUATING X

$\: \: \: 27x - 45y = 36 \: \\ \: \: \: 27x - 6y \: \: = 21 \\( - ) \: \: \: ( + ) \: \: \: \: \: \: \: ( - ) \\ - - - - - - - - - \\ \: \: \: \: \: \: \: \: \: \: - 39y \: \: \: = 15 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y \: \: \: = - \frac{15}{39} \\ \\ hence \\ \: y = - \frac{5 }{13}$

NOW PUT THE VALUE OF Y IN Eq 1

$3x - 5( - \frac{ 5}{13} ) = 4 \\ \\ 3x + \frac{25}{13} = 4 \\ \\ 3x = 4 - \frac{25}{13 } \\ \\ 3x = \frac{52 - 25}{13} \\ \\ 3x = \frac{27}{13} \\ \\ x = \frac{27}{13 \times 3} \\ \\ x = \frac{9}{13}$

HENCE VALUE OF “X” AND “Y” IS

$x = \frac{9}{13} \\ \\ y = - \frac{5}{13}$

THANKS FOR YOUR QUESTION HOPE IT HELPS

★ KEEP SMILING ☺️✌️★