BriseisJ
BriseisJ BriseisJ
  • 17-12-2020
  • Mathematics
contestada

How many solutions does the system of equations below have?

y= 3x + 4
2y -8 = 6x

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Аноним Аноним
  • 17-12-2020

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

[tex]\frac{2y}{2}[/tex] = [tex]\frac{6x}{2}[/tex] + [tex]\frac{8}{2}[/tex]

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

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