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Linear Equations In Two Variables — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsLinear Equations In Two Variables5 Marks
Question
Solve for x and y:
23x - 29y = 98,
29x - 23y = 110
✓

Answer

The given equations are: 23x - 29y = 98 ...(i) 29x - 23y = 110 ...(ii) Adding (i) and (ii), we get 52x + 52y = 208 ⇒ x + y = 4 ...(iii) Subtract (i) from (ii), we get 6x - 6y = 12 ⇒ x - y = 2 ...(iv) Adding (iii) and (iv), we get 2x = 6 ⇒ x = 3 Substituting x = 3 in (iii), we get y = 1Hence, x = 3 and y = 1

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