Y= 3x + 1 y= 2x - 3

When solving the system of equations (shown above) using substitution, the solution to the system is:

1. (4,13)

2. (4,5)

3. (-4,11)

4. (13,-4)

5. (-4,5)

6. (-4,-11)

{y,x} = {-11,-4} or  (-4,-11)

Step-by-step explanation:

System of Linear Equations entered :

 [1]    y - 2x = -3

  [2]    y - 3x = 1

Graphic Representation of the Equations :

  -2x + y = -3        -3x + y = 1  
Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    y = 3x + 1

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

[1]    (3x+1) - 2x = -3

  [1]    x = -4

// Solve equation [1] for the variable  x

 [1]    x = - 4

// By now we know this much :

  y = 3x+1

   x = -4

// Use the  x  value to solve for  y

y = 3(-4)+1 = -11

Solution :

{y,x} = {-11,-4}