Question

-3x+6y=6 and 3x+7y=5 parallel or coincident​

Answer 1

Step-by-step explanation:

-3x+6y=6

3x+7y=5

From equation (1),

$y =\frac{ 6 + 3x }{6} = \frac{3(2 + x)}{6} = \frac{2 + x}{2}$

Substituting the value of y in equation (2),

$3x + \frac{7(2 + x)}{2} = 5 \\ 3x + \frac{14 + 7x}{2} = 5 \\ \frac{6x + 7x + 14}{2} = 5 \\ 13x + 14 = 5 \times 2 \\ 13x = 10 - 14 \\ x = \frac{ - 4}{13}$

$y = \frac{2 + x}{2} = \frac{2 + \frac{ - 4}{13} }{2} = \frac{ \frac{26 - 4}{13} }{2} = \frac{44}{13}$