boogsbryce3220 boogsbryce3220
  • 13-12-2018
  • Mathematics
contestada

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

The system of equations has _____ solution(s).

A.no
B.one
C.infinite

Respuesta :

SonOfZeus
SonOfZeus SonOfZeus
  • 13-12-2018
C. infinite

If we look at the 2nd equation
[tex]2y = 4x + 6[/tex]
Now we will isolate y and we obtain:

[tex] \frac{2y}{2} = \frac{4x + 6}{2} \\ \\ y = 2x + 3 [/tex]
Since both equations are equivalent, then they must have an infinite amount of solutions.
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