text: # Determine x and y such that [[-2,-4,3],[4,4,-4]]  +  [[x-y,-2,-4],[-1,x,-2]] = [[-3,-6,-1],[3,2x+y,-6]]
  
  sciencesolve | Certified Educator
  
  You need to perform the matrix addition to the left side by adding the corresponding members, such that:
  
  `((-2 + x - y,-4 - 2, 3 - 4),(4 - 1, 4 + x, -4 - 2)) = ((-3,-6,-1),(3,2x + y,-6))`
  
  `((-2 + x - y, -6 , -1),(3, 4 + x, -6)) = ((-3,-6,-1),(3,2x + y,-6))`
  
  Equating the corresponding members yields:
  
  `{(-2 + x - y = -3),(4 + x = 2x + y):} => {(x - y = -1),(-x - y = -4):} `
  
  `x - y - x - y = -1 - 4 => -2y = -5 => y = 5/2 => y = 2.5`
  
  `x - 5/2 = -1 => x = -1 + 5/2 => x = 3/2 => x = 1.5`
  
  Hence, evaluating x and y, performing the matrix addition, yields `x = 1.5, y = 2.5.`
  
  rakesh05 | Certified Educator
  
  Given system is `[[-2,-4,3],[4,4,-4]]+[[x-y,-2,-4],[-1,x,-2]]=[[-3,-6,-1],[3,2x+y,-6]]`
  
  Which can be written as
  
  `[[-2+x-y,-4-2,3-4],[4-1,4+x,-4-2]]=[[-3,-6,-1],[3,2x+y,-6]]`
  
  Comparing the similar terms of the matrices on both sides we get
  
  `x-y-2=-3`    and    `4+x=2x+y`
  
  solving the above equations we get ``
  
  `x=3/2`          and   `y=5/2` .