Question

Using coordinate geometry answer this question with explanation​

Answer 1

Step-by-step explanation:

$\: \: \: \: \frac{x}{2} + \frac{y}{3}=3 --(i)\\=\frac{x}{4} - y= - 2 - -(ii) \\ = \frac{3x +2y}{6} = 3 - - (iii) \\ = \frac{x - 4y}{4} = - 2 - - (iv) \\ = 3x + 2y = 18 - - (v) \\ = x - 4y = - 8 - - (vi) \\ = 3x + 2y = 18 - - (vii) \\ = 3x - 12y = - 24 - - (viii) \\ = (3x + 2y) - (3x - 12y) \\ = 18 - ( - 24) \\ = 3x + 2y - 3x + 12y = 18 + 24 \\ = 14y = 42 \\ = y = \frac{42}{14} \\ = y = 3 \\ = 3x + 2y = 18 - - (v) \\ = 3x + 2 \times 3 = 18 \\ = 3x + 6 = 18 \\ = 3x = 18 - 6 \\ = 3x = 12 \\ = x = \frac{12}{3} \\ = x = 4 \\ = x = 4 - - y = 3$