Maths-
General
Easy
Question
Use Substitution to solve each system of equations :
2X - 3Y = 6
Y = 
X - 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 = x - 2 — eq 1
2x - 3y = 6 —- eq 2
Step 1 :- find x by substituting y = x - 2 in eq 2.
2x - 3(x - 2) = 6 ⇒ 2x - 2x - 6 = 6
6 = 6
Here we get 6 = 6 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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