Question

solve solve by elimination method X + Y equal to 5 and 2 x minus 3 Y equal to 4

Answer 1

$x + y = 5....equation(1) \\ \\ 2x - 3y = 4...equation(2) \\ \\ = > take \: equation(1) \times 2 - equation(2) \\ \\ 2x + 2y = 10 \\ 2x - 3y = 4 \\ - \: \: \: + \: \: \: \: \: \: - \\ ........................ \\ 0 \: + 5y = 6 \\ \\ \: \: 5y = 6 \\ \\ \: \: \: y = \frac{6}{5} \\ \: \\ \: \: \: value \: of \: y \: put \: in \: equation \: (1) \\ \\ = > x + \frac{6}{5} = 5 \\ \\ = > x = 5 - \frac{6}{5} \\ \\ \: \: \: \: \: \: \: \: x = \frac{25 - 6}{5} = \frac{19}{5}$

$x = \frac{19}{5} \\ \\ y = \frac{6}{5}$