Maths-
General
Easy

Question

Solve the following by using the method of substitution
fraction numerator X minus 2 Y over denominator 2 end fraction equals 0
Y = 0.5X + 3

hintHint:

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: No solution


    Solution :-
    fraction numerator X minus 2 Y over denominator 2 end fractionequals 0 not stretchy rightwards double arrow x minus 2 y equals 0 not stretchy rightwards double arrow x divided by 2 equals y not stretchy rightwards double arrow y equals 0.5 x minus text  eq  end text 1
    ⇒  y = 0.5x + 3 —- eq 2
    As we find both have the same slopes they are parallel lines .
    As parallel lines do not intersect they have no solution.
    No solution exists

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