SOLUTION: Hi, I am trying to solve this system of equations: 2x+y=8 6x+y=3 And so far, I have tried to solve it like this, but it led me

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Hi, I am trying to solve this system of equations: 2x+y=8 6x+y=3 And so far, I have tried to solve it like this, but it led me       Log On


   

Question 705526: Hi, I am trying to solve this system of equations: 2x+y=8
6x+y=3
And so far, I have tried to solve it like this, but it led me to the wrong answer.
2x+y=8
+6x-y=8
8x/8=8/8
x=1
Then, I went back and input x into an original equation.
2(1)+y=8
2+y=8
y=6
So, this led me to the wrong answer.Thanks if you could help.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2 x + 1 y = 8 .............1

6 x + 1 y = 3 .............2
Eliminate y
multiply (1)by -1
Multiply (2) by 1
-2 x -1 y = -8
6 x + 1 y = 3
Add the two equations
4 x = -5
/ 4
x = -5/ 4
plug value of x in (1)
2 x + 1 y = 8
-5/2 + y = 8
y = 8 + 5/2
y = 11
y = 21/ 2