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Answer :
[tex]\frac{3}{5}=\frac{x}{x+2y} \ \ \ |\hbox{cross multipy} \\
3(x+2y)=5x \\
3x+6y=5x \ \ \ |-3x \\
6y=2x \ \ \ |\div 2 \\
3y=x \ \ \ |\div y \\
3=\frac{x}{y} \\
\frac{3}{1}=\frac{x}{y}[/tex]
The ratio of x to y is 3:1.
3(x+2y)=5x \\
3x+6y=5x \ \ \ |-3x \\
6y=2x \ \ \ |\div 2 \\
3y=x \ \ \ |\div y \\
3=\frac{x}{y} \\
\frac{3}{1}=\frac{x}{y}[/tex]
The ratio of x to y is 3:1.
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Rewritten by : Barada
[tex]\frac{3}{5}=\frac{x}{x+2y}\ \ \ \ cross\ multiplication\\\\
3(x+2y)=5x\\\\
3x+6y=5x\ \ \ | subtract\ 3x\\\\
6y=2x\ \ \ \ \ | divide\ by\ 2\\\\
3y=x\ \ \ \ | divide\ by\ y\\\\
3=\frac{x}{y}\\\\
\frac{x}{y}=3[/tex]
3(x+2y)=5x\\\\
3x+6y=5x\ \ \ | subtract\ 3x\\\\
6y=2x\ \ \ \ \ | divide\ by\ 2\\\\
3y=x\ \ \ \ | divide\ by\ y\\\\
3=\frac{x}{y}\\\\
\frac{x}{y}=3[/tex]
