Maths-
General
Easy

Question

Solve by using elimination method. fraction numerator 3 x over denominator 5 end fraction minus 2 over 3 equals fraction numerator 2 x over denominator 3 end fraction plus 1 fourth.

Hint:

let y equals fraction numerator 3 x over denominator 5 end fraction minus 2 over 3 equals fraction numerator 2 x over denominator 3 end fraction plus 1 fourth now find y by eliminating x and find x by substituting y in the equations.

The correct answer is: x = -55/4 (or) -13.75


    Ans :- x = -55/4 (or) -13.75
    Explanation :-
    y equals fraction numerator 9 x minus 10 over denominator 15 end fraction not stretchy rightwards double arrow 15 y plus 10 equals 9 x and y equals fraction numerator 8 x plus 3 over denominator 12 end fraction not stretchy rightwards double arrow 12 y minus 3 equals 8 x
    Step 1 :- find y by eliminating x
    Eliminating x by multiplying the equation with appropriate constants and subtracting them
    8 left parenthesis 15 y plus 10 right parenthesis minus 9 left parenthesis 12 y minus 3 right parenthesis equals 8 left parenthesis 9 x right parenthesis minus 9 left parenthesis 8 x right parenthesis
    not stretchy rightwards double arrow 120 y plus 80 minus 108 y plus 27 equals 0 not stretchy rightwards double arrow 107 plus 12 y equals 0
    not stretchy rightwards double arrow y equals negative 107 divided by 12
    Step 2 :- substitute value of y and find x
    not stretchy rightwards double arrow 15 y plus 10 equals 9 x
    not stretchy rightwards double arrow 15 left parenthesis negative 107 divided by 12 right parenthesis plus 10 equals 9 x
    not stretchy rightwards double arrow 5 open parentheses negative 107 over 4 close parentheses plus 10 equals 9 x
    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 not stretchy rightwards double arrow 9 x equals open parentheses negative 495 over 4 close parentheses end cell row cell not stretchy rightwards double arrow x equals left parenthesis negative 55 right parenthesis divided by 4 end cell end table
     therefore space x space equals space minus 55 divided by 4 space left parenthesis o r right parenthesis space minus 13.75

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