Maths-
General
Easy
Question
Solve System of equations using Substitution :
Y = 3X + 1
6X - 2Y = -2
Hint:
find x by substituting y (in terms of x) in the equation and find y by substituting value of x in the equations .If we get a true statement we say they have infinite solutions .If we get the false statement we say they have no solution.
The correct answer is: They have infinite no.of solutions for the given system of equations
Ans :- infinite no.of solutions .
Explanation :-
y = 3x + 1 — eq 1
6x - 2y = -2 —- eq 2
Step 1 :- find x by substituting y =3x+1 in eq 2.
6x - 2 (3x + 1) = -2 ⇒ 6x - 6x - 2 = -2
-2 = -2
Here we get -2 = -2 which is always true i.e always having a root .
They coincide with each other and have infinite no.of solutions
∴ They have infinite no.of solutions for the given system of equations
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