Question

Find y for 2x + 5y = 10 and x + 3y = 6

Answer 1

Answer:

{x,y}={0,−2}

Step-by-step explanation:

[1]    2x - 3y = 6   =    -3y + 2x = 6

[2]    -2x - 5y = 10  =  -5y - 2x = 10

// Solve equation [1] for the variable  x  

 

 [1]    2x = 3y + 6

 [1]    x = 3y/2 + 3

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

  [2]    -2•(3y/2+3) - 5y = 10

  [2]     - 8y = 16

// Solve equation [2] for the variable  y  

  [2]    8y = - 16  

  [2]    y = - 2  

// By now we know this much :

   x = 3y/2+3

   y = -2

// Use the  y  value to solve for  x  

   x = (3/2)(-2)+3 = 0