Multiply both sides by x
1 = (1/y - 1/z)x
Regroup terms
1 = x(1/y - 1/z)
Divide both side by 1/y - 1/z
1/1/y - 1/z = x
Switch sides
x = 1/1/y - 1/z
The equation expressing x in terms of y and z is x = (yz)/(z-y).
An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The formula is
1/x=1/y-1/z
To express x in terms of y and z , the given equation has to be simplified.
[tex]\rm \dfrac{1}{x} = \dfrac{1}{y} - \dfrac{1}{z}[/tex]
[tex]\rm \dfrac{1}{x} = \dfrac{z-y}{yz}[/tex]
[tex]\rm x = \dfrac{yz}{z-y}[/tex]
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