lorenavh81 lorenavh81
  • 16-10-2018
  • Mathematics
contestada

What is the solution to the system of linear equations?

6x+y=14

-2x-y=-2

Respuesta :

carlosego
carlosego carlosego
  • 16-10-2018

Answer:

[tex]x=3\\y=-4[/tex]

Step-by-step explanation:

1. You can solve this system of equations by applying the Method of elimination.

2. You can add both equations to cancel the variable [tex]y[/tex] and the solve for [tex]x[/tex]:

[tex]4x=12\\x=3[/tex]

3. Substitute this value into one of the original equations:

[tex]6(3)+y=14\\18+y=14\\y=-4[/tex]

4. Therefore, the solution of the system of equations is the point (3,-4).


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