Maths-
General
Easy

Question

Solve 3x - 2y = 6 and x over 3 minus y over 6 equals 1 half

Hint:

find y by substituting x (in terms of y) in the equation and find x by substituting value of  y in the equations  .

The correct answer is: x = 0 ; y = -3


    Ans :- x = 0 ; y = -3
    Explanation :-
    x over 3 minus y over 6 equals 1 half not stretchy rightwards double arrow x over 3 equals y over 6 plus 1 half not stretchy rightwards double arrow x equals y over 2 plus 3 over 2 minus text  eq  end text 1
    3 x minus 2 y equals 6 minus negative text  eq  end text 2
    Step 1 :- find x by substituting x equals y over 2 plus 3 over 2 in eq 2.
    3 open parentheses y over 2 plus 3 over 2 close parentheses minus 2 y equals 6 not stretchy rightwards double arrow fraction numerator 3 y over denominator 2 end fraction plus 9 over 2 minus 2 y equals 6
    not stretchy rightwards double arrow fraction numerator negative y over denominator 2 end fraction equals 6 minus 9 over 2 not stretchy rightwards double arrow fraction numerator negative y over denominator 2 end fraction equals 3 over 2 not stretchy rightwards double arrow negative y equals 3
     rightwards double arrow y space equals space minus 3
    Step 2 :- substitute value of y and find x
    x equals y over 2 plus 3 over 2 not stretchy rightwards double arrow x equals fraction numerator negative 3 over denominator 2 end fraction plus 3 over 2
    not stretchy rightwards double arrow x equals 0
     therefore space x space equals space 0
    therefore spacex = 0 and y = -3 is the solution of the given pair of equations.

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