Maths-
General
Easy

Question

Solve the following equations by using the elimination method: x - y = 1 , 3x - y = 9

Hint:

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

The correct answer is: x = 4 ; y = 3


    Ans :- x = 4 ; y = 3
    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 x minus y equals 1 minus text  eq  end text 1 end cell row cell 3 x minus y equals 9 minus text  eq  end text 2 end cell end table
    Step 1 :- find x by eliminating y
    Eliminating x by subtracting  eq 2 - eq1 then
    left parenthesis 3 x minus y right parenthesis minus left parenthesis x minus y right parenthesis equals 9 minus 1
    not stretchy rightwards double arrow 3 x minus x minus y plus y equals 8 not stretchy rightwards double arrow 2 x equals 8
     rightwards double arrow x space equals space 4
    Step 2 :- substitute value of x and find y
    not stretchy rightwards double arrow x minus y equals 1 not stretchy rightwards double arrow 4 minus y equals 1
    not stretchy rightwards double arrow y equals 4 minus 1 not stretchy rightwards double arrow y equals 3
     therefore space y space equals space 3
    therefore x = 4 and y = 3 is the solution of the given pair of equations.

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