Question

solve the following pair of linear equation x/7+y/3=5, x/2-y/9 =6

Answer 1

take the LCM 3x+7y/21=5 and 9x-2y/18=6 and then multiple 21 with 5 and 18 with 6 so know we get eq1 3x+7y=105 and eq2 9x-2y=108
know elimination method
3x+7y=105*3
9x-2y=108*1

9x+21y=315
9x-2y=108
-. +. -
_________

23y=207
y=207/23
y=9

put the value of y in eq 2
9x-2(9)=108
9x-18=108
9x=108/18

9x=6
x=6/9
x=1/3