DariyahQ382814 DariyahQ382814
  • 03-11-2022
  • Mathematics
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The system of equations(4x-y = 4(x+1) hasly = 6The system of equations 4x-y=4(x+1) , y = 6 has:A. one solutionB. infinitely many solutionsC. no solution

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TaleahO486216 TaleahO486216
  • 03-11-2022

EXPLANATION

Plugging in y=6 into the first equation:

[tex]4x-6=4(x+1)[/tex]

Applying the distributive property:

[tex]4x-6=4x\text{ +4}[/tex]

Subtracting -4x to both sides:

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

Adding +6 to both sides:

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

Adding like terms:

[tex]0\ne10[/tex]

In conclusion, the system of equations has no solutions.

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