Maths-
General
Easy
Question
Solve System of equations using Substitution
Y = -2X + 5
2X + Y = 5
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 = -2x + 5— eq 1
2x + y = 5—- eq 2
Step 1 :- find x by substituting y = - 2x + 5 in eq 2.
2x + (- 2x + 5) = 5 ⇒ 2x - 2x + 5 = 5
5 = 5
Here we get 5 = 5 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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