Question

$$\frac { 5 } { 3 } x + \frac { 1 } { 3 } = 1 ,$$

Answer

x=(3*t-1)/(5*If)

Solution


Simplify  \(If\times \frac{5}{3}x\)  to  \(\frac{If\times 5x}{3}\).
\[\frac{If\times 5x}{3}+\frac{1}{3}=1\times t\]
Regroup terms.
\[\frac{5Ifx}{3}+\frac{1}{3}=1\times t\]
Simplify  \(1\times t\)  to  \(t\).
\[\frac{5Ifx}{3}+\frac{1}{3}=t\]
Join the denominators.
\[\frac{5Ifx+1}{3}=t\]
Multiply both sides by \(3\).
\[5Ifx+1=t\times 3\]
Regroup terms.
\[5Ifx+1=3t\]
Subtract \(1\) from both sides.
\[5Ifx=3t-1\]
Divide both sides by \(5\).
\[Ifx=\frac{3t-1}{5}\]
Divide both sides by \(If\).
\[x=\frac{\frac{3t-1}{5}}{If}\]
Simplify  \(\frac{\frac{3t-1}{5}}{If}\)  to  \(\frac{3t-1}{5If}\).
\[x=\frac{3t-1}{5If}\]