Question

Graph the system of equations. −x+2y=−8 3x−y=−6

Answer 1

Answer: x = - 4

y = - 6

Step-by-step explanation:

The given system of linear equations is expressed as

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

3x - y = - 6 - - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 1. It becomes

- 3x + 6y = - 24- - - - - - - - - - -3

3x - y = - 6- - - - - - - - - - - -4

Adding equation 3 to equation 4, it becomes

5y = - 30

Dividing the left hand side and the right hand side of the equation by 3, it becomes

5y/5 = - 30/5

y = - 6

Substituting y = - 6 into equation 2, it becomes

3x - - 6 = - 6

3x + 6 =- 6

Subtracting 6 from the left hand side and the right hand side of the equation, it becomes

3x + 6 - 6 = - 6 - 6

3x = - 12

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 12/3

x = - 4

Answer 2

Answer:

x = -4, y = -6

Step-by-step explanation:

-x+2y = -8

3x-y = -6

x = 2y+8

3(2y+8) - y = -6

6y + 24 -y = -6

5y = -30

y = -6

x = 2(-6)+8 = -12+8 = -4

x = -4, y = -6