Question

solve 4x+9y=30xy and 5y-3x =xy

Answer 1

Here is the answer... I hope it helps...

Answer 2

Answer:

Value of $x=\frac{1}{2}$   and $y=\frac{1}{3}$

Step-by-step explanation:

Given:

$4x+9y=30xy\\ 5y-3x=xy$

Multiply 1st equation by 3,

$12x+27y=90xy$    ⇒ A

Multiply 2nd equation by 4 and reorder 'x' and 'y' terms,

$-12x + 20y=4xy$   ⇒ B

Solving A and B,

$47y=94xy$

$x=\frac{47y}{94y}$

$x=\frac{1}{2}$

Substituting value of 'x' in B,

$-12(\frac{1}{2} )+20y = 4(\frac{1}{2})y\\\\-6+20y=2y\\\\20y-2y=6\\\\18y=6\\\\y=\frac{6}{18}\\\\ y=\frac{1}{3}$

Project code: #SPJ3