The literal equation for x is [tex]\frac{g}{4+5y}[/tex] given that [tex]g= 4x+5xy[/tex]
The subject of a formula is a way of representing a variable in terms of other variables.
Given the equation
[tex]g= 4x+5xy[/tex]
Factor out the common variable x
[tex]g= x(4+5y)[/tex]
Divide both sides by 4+5y
[tex]\frac{g}{4+5y} =\frac{x(4+5y)}{4+5y} \\\frac{g}{4+5y} = x\\Swap\\x = \frac{g}{4+5y}[/tex]
This shows that the literal equation for x is [tex]\frac{g}{4+5y}[/tex]
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