Question

Find the solution to the system of equations. 1 + 3y = 4 2r + 5y = 12

Answer 1

Answer: {x,y}={-1,2}

step-by-step explanation:

// Solve equation [2] for the variable  x

 [2]    2x = 5y - 12

 [2]    x = 5y/2 - 6

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

  [1]    2•(5y/2-6) + 3y = 4

  [1]    8y = 16

// Solve equation [1] for the variable  y

  [1]    8y = 16

  [1]    y = 2

// By now we know this much :

   x = 5y/2-6

   y = 2

// Use the  y  value to solve for  x

   x = (5/2)(2)-6 = -1

Solution :

{x,y} = {-1,2}