Maths-
General
Easy

Question

Solve the following by using elimination method: 2x + y = 6 , 3y = 8 + 4x

Hint:

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

The correct answer is: x = 1 ; y = 4


    Ans :- x = 1 ; y = 4
    Explanation :-
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2 x plus y equals 6 minus text  eq  end text 1 end cell row blank end table
    3 y equals 8 plus 4 x not stretchy rightwards double arrow 4 x plus 8 minus 3 y equals 0 text  - eq  end text 2
    Step 1 :- find y by eliminating x
    Eliminating x by doing eq 2- 2(eq1) then
    4 x plus 8 minus 3 y minus 2 left parenthesis 2 x plus y right parenthesis equals 0 minus 2 left parenthesis 6 right parenthesis
    not stretchy rightwards double arrow 4 x minus 4 x minus 3 y minus 2 y plus 8 equals negative 12 not stretchy rightwards double arrow negative 5 y equals negative 20
     rightwards double arrow y space equals space 4
    Step 2 :- substitute value of y and find x
    not stretchy rightwards double arrow 2 x plus y equals 6 not stretchy rightwards double arrow 2 x plus left parenthesis 4 right parenthesis equals 6
    not stretchy rightwards double arrow 2 x equals 6 minus 4 not stretchy rightwards double arrow 2 x equals 2
     therefore space x space equals space 1
    therefore x = 1 and y = 4 is the solution of the given pair of equations.

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