Respuesta :

Answer:

(6,0)

Step-by-step explanation:

The given system has equations:

[tex]x-4y=6[/tex]

[tex]2x+2y=12[/tex]

Multiply the top equation by 2 to get:

[tex]2x-8y=12[/tex]

[tex]2x+2y=12[/tex]

Subtract the top equation form the bottom equation to get:

[tex]2x-2x+2y--8y=12-12[/tex]

[tex]\implies 10y=0[/tex]

[tex]\implies y=0[/tex]

Put y=0 into [tex]x-4y=6[/tex]

[tex]x-4*0=6[/tex]

[tex]\implies x=6[/tex]

Therefore the solution is (6,0)

Your Answer Is:

C: (6,0)

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