Question

Solve and check result: \(2y+\frac{5}{3}=\frac{26}{3}-y\)

Answer 1

\(2y+\frac{5}{3}=\frac{26}{3}-y\)

Transposing \(y\) to L.H.S and \(\frac{5}{3}\) to R.H.S, we obtain
\(2y+y=\frac{26}{3}-\frac{5}{3}\)

\(3y\) = \(\frac{21}{3}\) = \(7\)
Dividing both sides by \(3\), we obtain 

\(y\) = \(\frac{7}{3}\)

L.H.S = \(2y+\frac{5}{3}\)

=\(2×\frac{7}{3}+\frac{5}{3}\)

=\(\frac{14}{3}+\frac{5}{3}\)

=\(\frac{19}{3}\)

R.H.S = \(\frac{26}{3}-y\)

=\(\frac{26}{3}-\frac{7}{3}\)

=\(\frac{19}{3}\)

L.H.S. = R.H.S.

Hence, the result obtained above is correct.