The solution to the equations 2/x+3/y=9/xy; and 4/x+9/y=21/xy are x = 1, and y = 3.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The complete question is:
Solve for x and y:
2/x+3/y=9/xy; and 4/x+9/y=21/xy x ≠ 0, y ≠ 0
We have two equations:
2/x+3/y=9/xy;
4/x+9/y=21/xy
Solving substitution method:
[tex]\rm \dfrac{4}{\dfrac{9-2y}{3}}+\dfrac{9}{y}=\dfrac{21}{\dfrac{9-2y}{3}y}[/tex]
y = 3
x = 1
Thus, the solution to the equations 2/x+3/y=9/xy; and 4/x+9/y=21/xy are x = 1, and y = 3.
Learn more about the linear equation here:
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