Adv
Rajan@2021
  • 1
Guru

Solve for x and y: x/3 + y/4 = 11, 5x/6 – y/3 = -7

  • 1

This question is from linear equations in two variables in which we have given two equations

x/3 + y/4 = 11, 5x/6 – y/3 = -7

We have to calculate the value of x and y from above equations

Kindly give me a detailed solution of this question

RS Aggarwal, Class 10, chapter 3B, question no 8

Share

1 Answer

  1. x/3+y/4=11,
    5x/6y/3=7

    Simplify the both equations:
    3x+4y=11
    4x+3y=132 and
     65x3y=7
    5x2y=−42

    We have,
    4x+3y=132...(1)
    5x2y=42...(2)

    Let us use elimination method to solve the given system of equation.
    Multiply (1) by 2 and (2) by 3. And add both the equations.

    (8x+6y=26415x6y=−126)/23x=138

    x=138​/23=6

    From (1):4(6)+3y=132

    y=108/3=36

    Answer x=6 and y=36

    • 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