Maths-
General
Easy

Question

Solve System of equations using Substitution
Y = -2X + 5
2X + Y = 5

hintHint:

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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