Select the statement that correctly describes the solution to this system of equations. x+2y=5
y=3x-8

{x,y} = {3,1}

Step-by-step explanation:

[1] x+2y=5

[2] y=3x-8

Equations Simplified or Rearranged :

[1] x + 2y = 5

[2] -3x + y = -8

Graphic Representation of the Equations :

2y + x = 5 y - 3x = -8

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = 3x - 8

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

[1] x + 2•(3x-8) = 5

[1] 7x = 21

// Solve equation [1] for the variable x

[1] 7x = 21

[1] x = 3

// By now we know this much :

x = 3

y = 3x-8

// Use the x value to solve for y

y = 3(3)-8 = 1

Solution :

{x,y} = {3,1}