Question

Solve for x and y by using method of substitution method
2/y+3/x=7/xy,1/y+9/x=11/xy​

Answer 1

Answer:

x =1 and y=2

Step-by-step explanation:

$\frac{2}{y} + \frac{3}{x} = \frac{7}{xy} \\ = \frac{2x + 3y}{xy} = 7xy \\ 2x + 3y = 7 \: \\ equation \: {1} \\ \\ \\ \frac{1}{y} + \frac{9}{x} = \frac{11}{xy} \\ = 9x + y = 11 \\ y = 11 - 9x \\ now \: substituting \: the \: vale \: of \: y \: in \: equation \: 1 \\ \\ 2x + 3(11 - 9x) =7 \\ 2x + 33 - 27x = 7 \\ - 25x = 7 - 33 \\ - 25x = - 25 \\ x = 1 \\ \\ y = 11 - 9 \\ y = 2$

HOPE YOU UNDERSTOOD THE SOLUTION