Maths-
General
Easy

Question

Solve the following by substitution method 2x - 3y = 7 and x + 6y = 11.

hintHint:

find y by substituting x (in terms of y) in the equation and find x by substituting value of  y in the equations  .

The correct answer is: x = 5 ; y = 1


    Ans :- x = 5 ; y = 1
    Explanation :-
    x plus 6 y equals 11 not stretchy rightwards double arrow x equals 11 minus 6 y minus text  eq  end text 1
    2 x minus 3 y equals 7 minus text  eq  end text 2
    Step 1 :- find x by substituting x = 11-6y in eq 2.
    2 left parenthesis 11 minus 6 y right parenthesis minus 3 y equals 7 not stretchy rightwards double arrow 22 minus 12 y minus 3 y equals 7
    not stretchy rightwards double arrow 22 minus 15 y equals 7 not stretchy rightwards double arrow 15 y equals 22 minus 7 not stretchy rightwards double arrow 15 y equals 15
     rightwards double arrow y space equals space 1
    Step 2 :- substitute value of y and find x
    x equals 11 minus 6 y not stretchy rightwards double arrow x equals 11 minus 6 left parenthesis 1 right parenthesis
    not stretchy rightwards double arrow x equals 11 minus 6 not stretchy rightwards double arrow x equals 5
     therefore space x space equals space 5
    therefore x = 5 and y = 1 is the solution of the given pair of equations.

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