Question
Solve for x and y:
217x + 131y = 913,
131x + 217y = 827
217x + 131y = 913,
131x + 217y = 827
✓
Answer
The given equations are:
217x + 131y = 913 ...(1)
131x + 217y = 827 ...(2)
Adding (1) and (2), we get
348x + 348y = 1740
348(x + y) = 1740
x + y = 5 ...(3)
Subtracting (2) from (1), we get
86x - 86y = 86
⇒ 86(x - y) = 86
⇒ x - y = 1 ...(4)
Adding (3) and (4), we get
2x = 6
⇒ x = 3
Putting x = 3 in (3), we get
3 + y = 5
⇒ y = 5 - 3 = 2
$\therefore$ The solution is x = 3, y = 2
217x + 131y = 913 ...(1)
131x + 217y = 827 ...(2)
Adding (1) and (2), we get
348x + 348y = 1740
348(x + y) = 1740
x + y = 5 ...(3)
Subtracting (2) from (1), we get
86x - 86y = 86
⇒ 86(x - y) = 86
⇒ x - y = 1 ...(4)
Adding (3) and (4), we get
2x = 6
⇒ x = 3
Putting x = 3 in (3), we get
3 + y = 5
⇒ y = 5 - 3 = 2
$\therefore$ The solution is x = 3, y = 2
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