Question

Can someone assist me with this?
$\frac{8}{3x - y} = \frac{5}{x + 3y \:}$
Find the ratio of x to y.​

Answer 1

Answer:

29: 7

Step-by-step explanation:

$\frac{8}{3x - y} = \frac{5}{x + 3y}$

Cross multiply:

$8(x + 3y) = 5(3x - y)$

Expand bracket:

$8x + 24y = 15x - 5y$

Bring x terms to 1 side, y terms to the other:

$15x - 8x = 24y + 5y$

Simplify:

$7x = 29y$

Divide by 7 on both sides:

$x = \frac{29}{7} y$

Divide both sides by y:

$\frac{x}{y} = \frac{29}{7}$

∴ The ratio of x to y is 29:7.