Question

PLEASE HELP, please write it out in the system of equations (step by step)

2x + y = - 1 ; x - 2y = - 8

Answer 1

Explanation:

[1] 2x + y = -1

[2] x - 2y = -8 <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = 2y - 8

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

[1] 2•(2y-8) + y = -1

[1] 5y = 15

// Solve equation [1] for the variable y

[1] 5y = 15

[1] y = 3

// By now we know this much :

x = 2y-8

y = 3

// Use the y value to solve for x

x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}

Answer 2

`{x,y}={-2,3}`

Explanation:

[1] 2x + y = -1

[2] x - 2y = -8 <------- given linear equations

Graphic Representation of the Equations : ----> given in attatchment

y + 2x = -1 -2y + x = -8 < ----- point where they connect is shown in graph

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = 2y - 8

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

[1] 2•(2y-8) + y = -1

[1] 5y = 15

// Solve equation [1] for the variable y

[1] 5y = 15

[1] y = 3

// By now we know this much :

x = 2y-8

y = 3

// Use the y value to solve for x

x = 2(3)-8 = -2

Solution :

{x,y} = {-2,3}