Adv
Rajan@2021
  • 0
Guru

Solve for x and y: 217x+131y=913, 131x+217y=827

  • 0

An important and conceptual question from linear equations in two variables in which we have been asked to find the variables x and y from the given equations 217x+131y=913, 131x+217y=827

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3B, question no 33

Share

1 Answer

  1. We have,
    217x+131y=913 (i)
    131x+217y=827 (ii)

    Adding equations (i) and (ii), we get
    348x+348y=1740
    x+y=5 (iii)

    Subtracting equation (ii) from equation (ii), we get
    86x86y=86
    xy=1 (iv)

    Adding equation (iii) and (iv), we get
    2x=6
    x=3

    Putting x=3 in equation(iii), we get y=2

    Hence, x=3 and y=2 is the solution of the given system of equations.

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions