• Math

  Linear Equation

  Posted by Divya Sanka on June 22, 2023 at 9:49 pm

  Solve the below linear equations using elimination method

  2x+3y=9 and

  x-y=3

  Princy Yadav replied 1 year, 10 months ago 2 Members · 1 Reply
• 1 Reply

• 

  Princy Yadav

  Member

  June 23, 2023 at 12:12 am

  Given equations are <div>

  2x+3y=9 … eq (1) and

  x-y=3 …eq(2)

  To solve by elimination method, we need to make coefficient of x in both the equations equal or coefficient of y in both the equations should be equal.

  Suppose, we want to make the coefficient of y equal in both the equations.

  We can do it by multiplying equation 2 with 3.

  On multiplying eq 2 by 3, we get,

  3x – 3y = 9 …eq (3)

  Now, adding eq(1) and (3), we get,

  2x + 3y = 9

  3x – 3y = 9

  We get,

  5x = 18

  x = 18/5

  Now, x-y=3

  18/5 -y = 3

  y = 18/5 – 3

  = (18 – 15)/5

  = 3/5

  Therefore, x = 18/5 and y = 3/5

  
  

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