math101beast math101beast
  • 20-06-2016
  • Mathematics
contestada

Given the system of equations, what is the solution?

x + 2y = 11
x - 2y = -1

Respuesta :

garydesir1
garydesir1 garydesir1
  • 20-06-2016

We need to solve x+2y=11 for x

Let's start by adding -2y to both sides

x+2y -2y = 11-2y

x= -2y+11

Now substitute -2y+11 for x in x-2y =-1

x-2y=-1

-2y+11-2y=-1

-4y+11=-1

Add -11 to both sides

-4y+11-11=-1-11

-4y=-12

Divide both sides by -4

-4y/-4 = -12/-4

y= 3

Substitute 3 for y in x=-2y+11

x= -2y+11

x = (-2)(3)+11

x=-6+11

x=5


The answer is x=5 and y=3

(5,3)


I hope that's help:)



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