Answer
The solution of the system of equations is $\left( x,y \right)=\left( \frac{1}{2a},\frac{1}{b} \right)$.
Work Step by Step
$4ax+by=3$ (I)
$6ax+5by=8$ (II)
Now, multiply equation (I) by −5 to obtain;
$-20ax-5by=-15$ (III)
And add equations (II) and (III):
$\begin{align}
& 6ax+5by-20ax-5by=8-15 \\
& -14ax=-7 \\
& x=\frac{1}{2a}
\end{align}$
Substitute the value of x in the equation (I):
$\begin{align}
& 2+by=3 \\
& by=1 \\
& y=\frac{1}{b}
\end{align}$
Thus, the solution set the system of equations is $\left( x,y \right)=\left( \frac{1}{2a},\frac{1}{b} \right)$.