if a+3d/a+9d=a+d/a+5d=k,find k
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a+3d/a+9d=a+d/a+5d=k
a+3d/a+9d=a+d/a+5d
cancel a on both sides,
3d/a+9d=d/a+5d
transpose 5d to LHS and 3d/a to RHS
9d-5d=d/a - 3d/a
4d= -2d/a
cancel d on both sides,
4= -2/a
transpose -2 to LHS
4/-2= 1/a
-2=1/a
a= -1/2 ---------2
a+3d/a+9d=k
-1/2+3d÷-1/2+9d=k
-1/2+(3d*2/-1)+9d=k
-1/2-6d+9d=k
3d-1/2=k
a+3d/a+9d=a+d/a+5d
cancel a on both sides,
3d/a+9d=d/a+5d
transpose 5d to LHS and 3d/a to RHS
9d-5d=d/a - 3d/a
4d= -2d/a
cancel d on both sides,
4= -2/a
transpose -2 to LHS
4/-2= 1/a
-2=1/a
a= -1/2 ---------2
a+3d/a+9d=k
-1/2+3d÷-1/2+9d=k
-1/2+(3d*2/-1)+9d=k
-1/2-6d+9d=k
3d-1/2=k
subh3:
this is not the ans...
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