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Question

Solve System of equations using Substitution :
5X - Y = -4
Y = 5X - 4

hintHint:

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 = 5x - 4                     — eq 1
    5x - y = -4                  —- eq 2
    Step 1 :- find x by substituting y = 5x - 4 in eq 2.
    5x - (5x - 4) = -4 ⇒ 5x - 5x + 4 = -4
    4 = -4
    Here we get 4 = -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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