Maths-
General
Easy

Question

Use Substitution to solve each system of equations :
X + 2Y = -10
Y = -0.5X + 2

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 = -0.5x + 2             — eq 1
    x + 2y = -10             —- eq 2
    Step 1 :- find x by substituting  y = -0.5x + 2 in eq 2.
    x + 2 (-0.5x + 2 )= -10 ⇒ x - x + 4 = -10
    4 = -10
    Here we get 4 = -10  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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