Question

01
Solve, the following system of
equation using cross multiplication method and verify by elimination
methods.
3x + 4y = 24, 20x-11y = 47.​

Answer 1

Answer:

Step-by-step explanation:

// Solve equation [2] for the variable  x  

 

 [2]    20x = 11y + 47

 [2]    x = 11y/20 + 47/20

// Plug this in for variable  x  in equation [1]

  [1]    3•(11y/20+47/20) + 4y = 24

  [1]    113y/20 = 339/20

  [1]    113y = 339

// Solve equation [1] for the variable  y  

  [1]    113y = 339  

  [1]    y = 3  

// By now we know this much :

   x = 11y/20+47/20

   y = 3

// Use the  y  value to solve for  x  

   x = (11/20)(3)+47/20 = 4  

Solution :

{x,y} = {4,3}