Solve for x and y: 23x + 31y = 7 and 31x + 23y = 47
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23x + 31y = 7 (equation 1)
31x + 23y = 47 (equation 2)
According to the question
let the equation 1
23x + 31y = 7
23x = 7-31y
x=(7-31y)/23 (equation 3)
Putting this value into equation 2
31x + 23y = 47
31×(7-31y)/23 + 23y = 47
(217 - 961y)/23 + 23y = 47
(217 - 961y + 529y)/23 = 47
217 -432y = 47 ×23
217 -431y = 1081
-431y=1081-217
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