Mathematics
Solve :
217x + 131y = 913
131x + 217y = 827
Linear Equations
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Answer
On adding both equations, we get:
⇒ 348x + 348y = 1740
⇒ 348(x + y) = 1740
⇒ x + y =
⇒ x + y = 5 ………………(1)
On subtracting both equations, we get:
⇒ 86x - 86y = 86
⇒ 86(x - y) = 86
⇒ x - y =
⇒ x - y = 1 ………………(2)
On adding equations (1) and (2), we get:
⇒ x =
⇒ x = 3
Substituting the value of x in equation (1), we get:
⇒ 3 + y = 5
⇒ y = 5 - 3
⇒ y = 2
Hence, the value of x = 3 and y = 2.
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