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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 4 · Set 1 · Q21
Solve the following system of equations algebraically: 30 x+44 y=10; 40 x+55 y=13
Solve the following system of equations algebraically: $\displaystyle 30 x+44 y=10 ; 40 x+55 y=13$
Marking-scheme solution
Given equations can be rewritten as
\[120 x+176 y=40 \ldots \text{(i)}
\]
\[120 x+165 y=39 \ldots \text{(ii)}
\]
Subtracting to get \(\displaystyle y=\frac{1}{11}\)
Substituting to get \(\displaystyle x=\frac{1}{5}\)
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.