Question

2x + 2y = -2
3x -2y = 12

Answer 1

`2x + 2y = - 2 \\ 3x - 2y = 12 \\ now \: add \: both \: equations \\ 2x + 2y + (3x - 2y) = - 2 + 12 \\ 2x + 2y + 3x - 2y = 10 \\ 5x = 10 \\ (5x)/(5) = (10)/(5) \\ x = 2 \\ \\ 2x + 2y = - 2 \\ 2 * 2 + 2y = - 2 \\ 4 + 2y = - 2 \\ 2y = - 2 - 4 \\ 2y = - 6 \\ (2y)/(2) = ( - 6)/(2) \\ y = - 3 \\ </p><p> now \: lets \: check \: whether \: this \: equation \: correct \\ 3x - 2y = 12 \\ 3 * 2 - 2 * - 3 = 12 \\ 6 + 6 = 12 \\ 12 = 12 \\ yes \: its \: correct`