Question

Solve this system of linear equations. Separate
the x- and y-values with a comma.
8x = 25 - 9y
-13x = -35 + 9y

Answer 1

Answer:

{x,y} = {2,1}

Step-by-step explanation:

[1]    8x + 9y = 25

[2]    -13x - 9y = -35

// Solve equation [1] for the variable  y  

 [1]    9y = -8x + 25

 [1]    y = -8x/9 + 25/9

// Plug this in for variable  y  in equation [2]

  [2]    -13x - 9•(-8x/9+25/9) = -35

  [2]    -5x = -10

// Solve equation [2] for the variable  x  

  [2]    5x = 10  

  [2]    x = 2  

// By now we know this much :

   x = 2

   y = -8x/9+25/9

// Use the  x  value to solve for  y  

   y = -(8/9)(2)+25/9 = 1

SOlution: {x,y} = {2,1}

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