Question

85. Solven
31x+57y=150
57x+31y=202
by reducing it to another pair of smaller coefficients.​

Answer 1

Answer:

31x + 57y=150

+ 57x + 31y=202

_______________________

88x + 88y= 352 =》88(x+y)=352

=》x + y= 16

then:

57x + 31y= 202

-31x - 57y= -150

________________________

26x - 26y= 52 =》26(x - y)= 52

=》 x + y = 2

we get

x+y= 16 and x-y= 2

then we get x = 9 by elemination

then we get y = 7