andrewsmegan32oy3n6j andrewsmegan32oy3n6j
  • 16-12-2017
  • Mathematics
contestada

For the following system of equations, what is the x-value of the solution?

-x+2y=6
6y=x+18

A) -18
B) 0
C) -6
D) 3

Respuesta :

kenide992
kenide992 kenide992
  • 16-12-2017
the answer is 3 for both
Answer Link
calculista
calculista calculista
  • 09-01-2019

Answer:

The answer is the option B

[tex]x=0[/tex]

Step-by-step explanation:

we have

[tex]-x+2y=6[/tex] -----> equation A

[tex]6y=x+18[/tex] ------> rewrite ----> [tex]x+18=6y[/tex] -----> equation B

Adds equation A and equation B

[tex]-x+2y=6\\x+18=6y\\----------\\2y+18=6+6y\\6y-2y=18-6\\4y=12\\y=3[/tex]

Find the value of x

[tex]-x+2y=6[/tex] ------> substitute the value of y and solve for x

[tex]-x+2(3)=6[/tex]

[tex]x=0[/tex]

Answer Link

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