Answer
The solution of the equations is $\left( 2.5,-2 \right)$.
Work Step by Step
Let us consider the equation:
$4x+3y=4$ …… (I)
$y=2x-7$ …… (II)
Substitute the value of y from equation (II) in equation (I) so that:
$\begin{align}
& 4x+3\left( 2x-7 \right)=4 \\
& 4x+6x-21=4 \\
& 10x=4+21 \\
& 10x=25
\end{align}$
Further simplify,
$\begin{align}
& x=\frac{25}{10} \\
& x=2.5
\end{align}$
Now, put the value of x in equation (II) so that:
$\begin{align}
& y=2\times 2.5-7 \\
& y=5-7 \\
& y=-2 \\
& x=2.5 \\
\end{align}$
After that, simplify,
$y=-2$
Thus, the values are:
$x=2.5\text{ and }y=-2$.
