16. x – y = 3
2x = 2y + 6
The system of equations above has how many
solutions?
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many
ANS: E
I thou it will A
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samirpandeyit62
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x – y = 3
2x = 2y + 6
typically these are a set of simultaneous eqns which will have 2 solns
however the two eqns are
x -y =3
2x -2y = 6 i.e x -y =3
so both the eqns are the same
hence we cannot find a soln, howver we cannot say that there is no soln
coz 6 -3 =3, 10-7 =3 ........ these all can be potential values of x,y
hence we can say that there are infinte possibilites for x & y
so E
2x = 2y + 6
typically these are a set of simultaneous eqns which will have 2 solns
however the two eqns are
x -y =3
2x -2y = 6 i.e x -y =3
so both the eqns are the same
hence we cannot find a soln, howver we cannot say that there is no soln
coz 6 -3 =3, 10-7 =3 ........ these all can be potential values of x,y
hence we can say that there are infinte possibilites for x & y
so E
Regards
Samir
Samir
