Question

x+y=3 and x-y=2 find x and y​

Answer 1

Answer:

$let \: \: \: \: \: \: x + y = 3 \: \: \: \: \: \: \: is \: equation \: (1) \\ and \: \: \: \: x - y = 2 \: \: \: is \: equation \: (2) \\ \\ \\ now \: subtract \: the \: equation \: : (1) - (2) \\ \\ (x + y) - (x - y) = 3 - 2 \\ \\ x + y - x + y = 1 \\ \\ 2y = 1 \\ \\ y = \frac{1}{2} \\ \\ so \: we \: put \: the \: value \: of \: y \: in \: equation \: (1) \: \: \: we \: get \\ \\ x + y = 3 \\ \\ x + \frac{1}{2} = 3 \\ \\ x = 3 - \frac{1}{2} = \frac{6 - 1}{2} = \frac{5}{2} \\ \\ \\ { \huge{ \red{ = > x = \frac{5}{2} }}} \\ \\ { \huge{ \pink{ = > y = \frac{1}{2} }}}$

thus is your answer ❤️✅