Answer:
[tex]2x + 2y = - 2 \\ 3x - 2y = 12 \\ now \: add \: both \: equations \\ 2x + 2y + (3x - 2y) = - 2 + 12 \\ 2x + 2y + 3x - 2y = 10 \\ 5x = 10 \\ \frac{5x}{5} = \frac{10}{5} \\ x = 2 \\ \\ 2x + 2y = - 2 \\ 2 \times 2 + 2y = - 2 \\ 4 + 2y = - 2 \\ 2y = - 2 - 4 \\ 2y = - 6 \\ \frac{2y}{2} = \frac{ - 6}{2} \\ y = - 3 \\
now \: lets \: check \: whether \: this \: equation \: correct \\ 3x - 2y = 12 \\ 3 \times 2 - 2 \times - 3 = 12 \\ 6 + 6 = 12 \\ 12 = 12 \\ yes \: its \: correct[/tex]
