CBSE 2025 · Region 6 · Set 2 · Q30 · 3 marks
Check whether the following system of equations is consistent or not. If consistent, solve graphically \[x-2 y+4=0,2 x-y-4=0 \]
Marking-scheme solution
\[\begin{aligned}
& \frac{a_{1}}{a_{2}}=\frac{1}{2} ; \frac{b_{1}}{b_{2}}=\frac{-2}{-1}=2 \\
& \frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}
\end{aligned}
\]
Correct graph Solution is \(\displaystyle (4,4)\) or \(\displaystyle x=4\) and \(\displaystyle \mathrm{y}=4\)

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CBSE Class 10 Mathematics past-paper question from the 2025board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.