Mathematics — Standard (041) — CBSE Class 10 board question

From equation (1): $7x - 2y = 5$ ... (1)
From equation (2): $8x + 7y = 15$ ... (2)

Multiply (1) by 7 and (2) by 2:

$49x - 14y = 35$ ... (3)
$16x + 14y = 30$ ... (4)

Adding (3) and (4):
$65x = 65 \Rightarrow x = 1$

Substituting in (1): $7(1) - 2y = 5 \Rightarrow y = 1$

Solution: $x = 1,\ y = 1$

Verification:

• Eq (1): $7(1) - 2(1) = 5$ ✓
• Eq (2): $8(1) + 7(1) = 15$ ✓

Source: Chapter 3, Exercise 3.3 (Elimination Method)

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• The examiner expects the elimination method (multiply to equate coefficients, then add/subtract). Show each step clearly.
• Always write the verification step — it carries marks in a "verify your answer" question.
• Keep working neat and label equations (1), (2), (3)… — this signals method clarity to the examiner.