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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 4 · Set 2 · Q23
Solve the following system of equations algebraically: 37 x+63 y=137 63 x+37 y=163
Solve the following system of equations algebraically : $\displaystyle 37 x+63 y=137$ $\displaystyle 63 x+37 y=163$
Marking-scheme solution
Adding and subtracting the given equations, we get
\[x+y=3 \ldots \text{(i)}
\]
\[\text{and } x-y=1 \ldots \text{(ii)}
\]
Solving (i) and (ii), we get
\[x=2, y=1
\]
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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.