Maths-
General
Easy

Question

Solve: x - 2y = 8 , 4x + 2y = 7 by using elimination method.

hintHint:

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

The correct answer is: x = 3 ; y = -5/2


    Ans :- x = 3 ; y = -5/2
    Explanation :-
    x - 2y = 8 — eq 1
    4x = 2y = 7 — eq 2
    Step 1 :- find x by eliminating y
    Eliminating x by adding eq 2 and eq1 then
    left parenthesis x minus 2 y right parenthesis plus left parenthesis 4 x plus 2 y right parenthesis equals 8 plus 7
    not stretchy rightwards double arrow x plus 4 x plus 2 y minus 2 y equals 15 not stretchy rightwards double arrow 5 x equals 15
     rightwards double arrowx space equals space 3
    Step 2 :- substitute value of x and find y
    not stretchy rightwards double arrow x minus 2 y equals 8 not stretchy rightwards double arrow left parenthesis 3 right parenthesis minus 2 y equals 8
    not stretchy rightwards double arrow negative 2 y equals 8 minus 3 not stretchy rightwards double arrow negative 2 y equals 5
     therefore space y space equals space minus 5 divided by 2
    therefore space x space equals space 3 and y = -5/2 is the solution of the given pair of equations.

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