payton81724
payton81724 payton81724
  • 19-05-2020
  • Mathematics
contestada

I need answer ASAP!
How many solutions does this system have?
6x+3y=-12
y=-2x+4

one
two
an infinite number
no solution

Respuesta :

vschluter28
vschluter28 vschluter28
  • 19-05-2020

Answer:

no solution

Step-by-step explanation:

when you substitute [tex]y[/tex] for [tex]-2x+4[/tex] the equation is false

how I solved this:

1. substitute [tex]y[/tex] for [tex]-2x+4[/tex]

[tex]6x+3(-2x+4)=-12[/tex]

2. distribute the 3

[tex]6x+-6x+12=-12[/tex]

3. combine like terms

[tex]12=-12[/tex]

this is incorrect because 12 does not equal -12, so there is no solution

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