Maths-
General
Easy

Question

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

Hint:

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.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.