• Math

  Solve for x and y

  Posted by Yashi on June 22, 2023 at 7:38 pm

  2x+3y=9

  8x-2y=5

  Raghav replied 10 months, 2 weeks ago 3 Members · 2 Replies

  • elimation
  • equatio
  • line
  • linear
  • math-2
  • maths
• 2 Replies

• 

  Khushi

  Member

  June 22, 2023 at 7:48 pm

  Helpful

  Up

  2

  Down

  Not Helpful

  ::

  To solve this, we will use the method of substitution-

  2x + 3y = 9 …(1)

  8x – 2y = 5 …(2)

  
  

  Step 1: Solve equation (1) for x in terms of y:

  2x = 9 – 3y

  x = (9 – 3y) / 2

  Step 2: Substitute x in equation (2) with the expression we obtained in step 1:

  8((9 – 3y) / 2) – 2y = 5

  Simplifying further:

  4(9 – 3y) – 2y = 5

  36 – 12y – 2y = 5

  36 – 14y = 5

  -14y = 5 – 36

  -14y = -31

  y = (-31) / (-14)

  y = 31/14

  y ≈ 2.2143

  Step 3: Substitute the value of y back into equation (1) to find x:

  2x + 3(2.2143) = 9

  2x + 6.6429 = 9

  2x = 9 – 6.6429

  2x ≈ 2.3571

  x ≈ 1.1786

  Therefore, the solution to the system of equations is approximately x ≈ 1.1786 and y ≈ 2.2143.

• 

  Raghav

  Member

  June 22, 2023 at 8:52 pm

  Helpful

  Up

  0

  Down

  Not Helpful

  ::

  Given,
  2x + 3y = 9 …(1)
  8x – 2y = 5 …(2)

  Let’s solve them with the help of elimination method. In order to do that we need cancel out any 1 of the element.

  Solution :-

  Multiply Eq (1) by 2 & Eq (2) by 3, we get

  4x + 6y = 18 ..(3)
  24x – 6y = 15 ..(4)

  Now Add Eq (3) & Eq (4), we get

  (4x + 6y) + (24x – 6y) = 18 + 15
  28x = 33
  x = 33/28 OR x = 1.17

  Using the value of x = 33/28 in Eq (1), we get
  2(33/28) + 3y = 9
  3y = 9 – 33/14
  3y = 93/14
  y = 31/14 OR y = 2.21

  Hence, Solved!

Log In to Reply