loganmdunn01
loganmdunn01 loganmdunn01
  • 21-04-2020
  • Mathematics
contestada

Solve the system of equations below.
x + y = 5
-4x – 2y = -8

Respuesta :

mberisso
mberisso mberisso
  • 21-04-2020

Answer:

x = -1 , y = 6  

or  (-1, 6)

Step-by-step explanation:

First solve for "y" in the second equation:

[tex]-4x-2y=-8\\-4x+8=2y\\y=-2x+4[/tex]

and now, use this result as a substitution for "y" in  terms of "x" in the first equation:

[tex]x+y=5\\x+(-2x+4)=5\\x-2x+4=5\\-x=5-4\\-x=1\\x=-1[/tex]

Knowing the value of "x", now we place it in the substitution equation to find "y":

[tex]y=-2x+4\\y=-2(-1)+4\\y=6\\[/tex]

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