Question

solve the following equation 11 x minus 9y is equal to minus 4 and 6x minus 5y is equal to minus 3​

Answer 1

Step-by-step explanation:

$by \: given \: condition \: the \: equqtion \: becomes \\ \\ 11x - 9y = - 4 \: \: \: - - - - - - 1 \\ \\ 6x - 5y = - 3 \: \: \: - - - - - - 2 \\ \\ multiplying \: eqn \: 1by5 \: and \: second \: by \: 9 \\ \\ therefore \: the \: given \: eqn \: becomes \\ \\ 55x - 45y = - 20 - - - - - - - - 3 \\ \\ 54x - 45y = - 27 - - - - - - - - - - 4 \\ \\ subtracting \: eqn \: 4 \: from \: 3 \\ \\ 55x - 45y = - 20 \\ 54x - 45y = - 27 \\ - - - - - - - - - \\ x = 7 \\ \\ substituting \: x = 7 \: in \: eqn \: 1 \\ \\ 11x - 9y = - 4 \\ \\ 11 \times 7 - 9y = - 4 \\ \\ 77 - 9y = - 4 \\ \\ - 9y = - 4 - 77 \\ \\ - 9y = - 81 \\ \\ therefore \\ \\ 9y = 81 \: \\ eleminating \: - \: sign \:on \: both \: side \\ \\ y = \frac{81}{9} \\ \\ y = 9 \\ \\ \\ the \: solution \: is \: (7and \: 9)$