Solve for \(x\) in \(3x+14=49\).
Solve for \(x\).
\[3x+14=49\]
Subtract \(14\) from both sides.
\[3x=49-14\]
Simplify \(49-14\) to \(35\).
\[3x=35\]
Divide both sides by \(3\).
\[x=\frac{35}{3}\]
Substitute \(x=\frac{35}{3}\) into \(2x-2y=18\).
Solve for \(y\) in \(\frac{70}{3}-2y=18\).
Solve for \(y\).
\[\frac{70}{3}-2y=18\]
Subtract \(\frac{70}{3}\) from both sides.
\[-2y=18-\frac{70}{3}\]
Simplify \(18-\frac{70}{3}\) to \(-\frac{16}{3}\).
\[-2y=-\frac{16}{3}\]
Divide both sides by \(-2\).
\[y=\frac{-\frac{16}{3}}{-2}\]
Two negatives make a positive.
\[y=\frac{\frac{16}{3}}{2}\]
Simplify \(\frac{\frac{16}{3}}{2}\) to \(\frac{16}{3\times 2}\).
\[y=\frac{16}{3\times 2}\]
Simplify \(3\times 2\) to \(6\).
\[y=\frac{16}{6}\]
Simplify \(\frac{16}{6}\) to \(\frac{8}{3}\).
\[y=\frac{8}{3}\]
