Question

Solve: 217X+131Y=913, 131X+217Y=827

Answer 1

Fristly add up both eqn. 217x+131y=913 + 131x+217y=827 _____________ 348x+348y=1740 Dividing both side by 348 We get x+y=5---1 Similarly Subtract given eqn 217x+131y=913 - 131x+217y=827 _____________ 86x-86y = 86 Dividing both side by 86 We get x-y =1------2eqn Now solve eqn 1&2 x+y=5 + x-y=1 _____ 2x=6 x=3 Put x=3 in eqn 1 x+y=5 3+y=5 y =5-3 y=2 Hence x=3 y=2