Question

Solve.





–3(5 – 15n) = 15(3n – 2)

Answer 1

\(\Large –3(5 – 15n) = 15(3n – 2)\)
\(\Large (-3)\times 5 + (-3)\times (-15n)=15\times 3n + 15\times (-2)\)
\(\Large -15+45n=45n-30\)
\(\Large -15=-30\) \(\Large \color{red}{\Rightarrow no\ solution}\)

Answer 2

\(\Large \color{blue}{Method\ 2}\)
\(\Large –3(5 – 15n) = 15(3n – 2)\)
\(\Large -3\times 5(1-3n)=15(3n-2)\)
\(\Large -15(1-3n)=15(3n-2)\)
\(\Large 3n-1=3n-2\)
\(\Large 1=2\)

So, the Equation Has No Solution