Maths-
General
Easy
Question
Solve System of equations using Substitution :
X + Y = - 4
Y = - X + 5
Hint:
find x by substituting y (in terms of x) in the equation and find y by substituting the value of x in the equations .If we get an 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 no solution for the given system of equations
Ans :-no solution.
Explanation :-
y = - x + 5 — eq 1
x + y = - 4 —- eq 2
Step 1 :- find x by substituting y = - x + 5 in eq 2.
x + (- x + 5) = - 4 ⇒ x - x + 5 = -4
5 = -4
Here we get 5 = -4 which is always false i.e solutions do not exist
They are parallel with each other and have no solutions
∴ They have no solution for the given system of equations.
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