Question

Linear in two variables
$5x - y = 2 \: and \: 6x + 3y = 5$
​

Answer 1

Answer:

$5x - y = 2 - - - (1) \\ 6x + 3y = 5 - - - (2) \\ multiply \: equation \: (1) \: by \: 3 \\ 15x - 3y = 6 \\ add \: equation \: (2) \: and \: (3) \\ 6x + 3y = 5 \\ + \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 15x - 3y = 6 \\ we \: get \\ 21x = 11 \\ x = \frac{11}{21} \\ x = 1.9090909091 \\ put \: x = 1.9090909091 \: in \: equation \: (1) \\ 5x - y = 2 \\ 5 \times 1.9090909091 - y = 2 \\ 9.5454545455 - y = 2 \\ - y = 2 - 9.5454545455 \\ - y = - 7.5454545455 \\ y = 7.5454545455 \\ the \: solution \: of \: the \: given \: is \: (1.9090909091\: and \: 7.5454545455)$