Question

Solve he following system of linear equations:

37x+43y=123

43x+37y=117

Answer 1

37x+43y=123 .......(1)

43x+37y=117 .......(2)

Multiply (1) by 43 and (2) by 37

1591x+1849y=5289

1591x+1369y=4329

- -. -

-----------------------------------

480y=960

y=960/480

y=2

37x+43y=123

put y=2

37x+43(2)=123

37x+86=123

37x=123-86

37x=37

x=1

Ans is (x=1,y=2)