Maymay57081 Maymay57081
  • 06-06-2018
  • Mathematics
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What is the solution to this system of equations? {2x+4y=227x+y=12{2x+4y=227x+y=12?

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carlosego
carlosego carlosego
  • 15-06-2018
For this case we have the following system of equations:
 [tex]2x + 4y = 227 x + y = 12[/tex]
 Rewriting we have:
 [tex]2x + 4y = 227 -4x - 4y = -48[/tex]
 Adding equations we have:
 [tex]-2x = 179 [/tex]
 Clearing x:
 [tex]x = - 179/2 x = -89.5[/tex]
 Then, we look for the value of y:
 [tex]x + y = 12 y = 12 - x y = 12 - (-89.5) y = 12 + 89.5 y = 101.5[/tex]
 Answer:
 
The solution to the system of equations is:
 
x = -89.5
 
y = 101.5
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