Question

How many solutions does the system have? y = -3x +9 3y = -9x + 9

Answer 1

Answer:

{y,x} = {0,1}

Step-by-step explanation:

// Solve equation [1] for the variable  y

 [1]    y = 3x - 3

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

  [2]    -3•(3x-3) - 9x = -9

  [2]     - 18x = -18

// Solve equation [2] for the variable  x

  [2]    18x = 18

  [2]    x = 1

// By now we know this much :

   y = 3x-3

   x = 1

// Use the  x  value to solve for  y

   y = 3(1)-3 = 0