Find the respective values of x and y.
37x + 29y = 53 29x + 37y = 13
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3 and - 2
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2 and - 3
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3 and 2
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-3 and - 2
Reveal answer
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A
Correct answer
Explanation
37x + 29y = 53...(i)29x + 37y =13...(ii) Adding (i) and (ii), we get66x + 66y = 66$\Rightarrow$ x + y = 1 ... (iii) Subtracting (ii) from (i), we get 8x - 8y = 40$\Rightarrow$ x- y = 5 ...(iv) Adding (iii) and (iv), we get 2x = 6$\Rightarrow$x = 3. Subtracting (iv) from (iii), we get 2y = -4$\Rightarrow$ y = - 2 Hence, the solution is x = 3 and y = -2.
AI explanation
Adding the two equations (37x+29y=53 and 29x+37y=13) gives 66x+66y=66, so x+y=1. Subtracting them gives 8x–8y=40, so x–y=5. Solving these two simpler equations together gives x=3 and y=–2, which satisfies both original equations.