Solve for \(k\) in \(3kg+2kg=420\).
Solve for \(k\).
\[3kg+2kg=420\]
Simplify \(3kg+2kg\) to \(5kg\).
\[5kg=420\]
Divide both sides by \(5\).
\[kg=\frac{420}{5}\]
Simplify \(\frac{420}{5}\) to \(84\).
\[kg=84\]
Divide both sides by \(g\).
\[k=\frac{84}{g}\]
\[k=\frac{84}{g}\]
Substitute \(k=\frac{84}{g}\) into \(6kg-5kg=915\).
Start with the original equation.
\[6kg-5kg=915\]
Let \(k=\frac{84}{g}\).
\[6\times \frac{84}{g}g-5\times \frac{84}{g}g=915\]
Simplify.
\[84=915\]
\[84=915\]
Since \(84=915\) is not true, this is an inconsistent system.
