Maths-
General
Easy

Question

Solve 2 x plus 3 y equals 11 and 2 x minus 4 y equals negative 24 by using elimination method.

hintHint:

find y by eliminating x and find x by substituting y in the equations  .

The correct answer is: x = -2 ; y = 5


    Ans :- x = -2 ; y = 5
    Explanation :-
    2 x plus 3 y equals 11 minus text  eq  end text 1
    2 x minus 4 y equals negative 24 minus text  eq  end text 2
    Step 1 :- find y by eliminating x
    Eliminating x by subtracting eq 1- eq2 then
    left parenthesis 2 x plus 3 y right parenthesis minus left parenthesis 2 x minus 4 y right parenthesis equals 11 minus left parenthesis negative 24 right parenthesis
    not stretchy rightwards double arrow 2 x minus 2 x plus 3 y plus 4 y equals 35 not stretchy rightwards double arrow 7 y equals 35
     rightwards double arrow y space equals space 5
    Step 2 :- substitute value of y and find x
    not stretchy rightwards double arrow 2 x plus 3 y equals 11 not stretchy rightwards double arrow 2 x plus 3 left parenthesis 5 right parenthesis equals 11
    not stretchy rightwards double arrow 2 x equals 11 minus 15 not stretchy rightwards double arrow x equals negative 4 divided by 2
     therefore space x space equals space minus 2
    therefore x = -2 and y = 5 is the solution of the given pair of equations.

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