Question

X + 2y = 5 3x + 5y = 14 Solve the system of equations. (3, 1) (7, -1)

Answer 1

For this case we have the following system of equations:

$x + 2y = 5\\3x + 5y = 14$

To solve, we multiply the first equation by -3:

$-3x-6y = -15$

We add the equations:

$-3x + 3x-6y + 5y = 14-15\\-y = -1\\y = 1$

We look for the value of the variable "x":

$x + 2 (1) = 5\\x + 2 = 5\\x = 5-2\\x = 3$

Thus, the solution of the system is (3,1)

Answer:

(3,1)

Answer 2

Answer:

{x,y} = {3,1}

Step-by-step explanation:

// Solve equation [1] for the variable  x  

 [1]    x = -2y + 5

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

  [2]    3•(-2y+5) + 5y = 14

  [2]     - y = -1

// Solve equation [2] for the variable  y  

  [2]    y = 1

// By now we know this much :

   x = -2y+5

   y = 1

// Use the  y  value to solve for  x  

   x = -2(1)+5 = 3

Solution :

{x,y} = {3,1}