Question

5 ÷ X + 6 Y = 13, 3 ÷X + 4 Y = 7​

Answer 1

Answer:

$\frac{5}{x + 6y} = 13 \\ 5 = 13(x + 6y) \\ 5 = 13x + 78y \\ \frac{5 - 78y }{13} = x ......(3)\\ \frac{3}{x + 4y} = 7 \\ 3 = 7x + 28y \\ \frac{3 - 28y}{7} = \frac{5 - 78y}{13}.... from(3) \\ 39 - 364y = 35 - 546y \\ 4 = - 546y + 364y \\ 4 = - 182y \\ y = \frac{ - 4}{182} = 45.5 \\ \frac{3}{x + 45.5} = 7 \\ 3 = 7x + 318.5 \\ 3 - 318.5 = 7x \\ - 315.5 = 7x \\ x = \frac{ - 315.5}{7} = 45.07$