Solve for \(x\) in \(163x-4=2\).
Solve for \(x\).
\[163x-4=2\]
Add \(4\) to both sides.
\[163x=2+4\]
Simplify \(2+4\) to \(6\).
\[163x=6\]
Divide both sides by \(163\).
\[x=\frac{6}{163}\]
\[x=\frac{6}{163}\]
Substitute \(x=\frac{6}{163}\) into \(2x-y=3\).
Start with the original equation.
\[2x-y=3\]
Let \(x=\frac{6}{163}\).
\[2\times \frac{6}{163}-y=3\]
Simplify.
\[\frac{12}{163}-y=3\]
\[\frac{12}{163}-y=3\]
Solve for \(y\) in \(\frac{12}{163}-y=3\).
Solve for \(y\).
\[\frac{12}{163}-y=3\]
Subtract \(\frac{12}{163}\) from both sides.
\[-y=3-\frac{12}{163}\]
Simplify \(3-\frac{12}{163}\) to \(\frac{477}{163}\).
\[-y=\frac{477}{163}\]
Multiply both sides by \(-1\).
\[y=-\frac{477}{163}\]
\[y=-\frac{477}{163}\]
Therefore,
\[\begin{aligned}&x=\frac{6}{163}\\&y=-\frac{477}{163}\end{aligned}\]
x=6/163;y=-477/163
