SOLUTION: it say to use the substitutuon y=x+2 2x+y=8 x+y=3 3x+y=3 3x-y=9 2x+y=6 I hope you ca help I need to know how to do this for my exam

Algebra ->  Linear-equations -> SOLUTION: it say to use the substitutuon y=x+2 2x+y=8 x+y=3 3x+y=3 3x-y=9 2x+y=6 I hope you ca help I need to know how to do this for my exam      Log On


   



Question 41591: it say to use the substitutuon

y=x+2
2x+y=8


x+y=3
3x+y=3


3x-y=9
2x+y=6

I hope you ca help I need to know how to do this for my examine

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
y=x+2
2x+y=8
Look at the first equation. (y = x + 2)-- y has a solutions of x+%2B+2
2x + y = 8
2x + x + 2 = 8
3x = 6
x = 2
So ....
y = x + 2
y = 2 + 2
y = 4
(2,4) is your solution! That is where the two line's meet.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2B2%2C+-2x%2B8%29+
------
x+y=3
3x+y=3
Change the first equation to y+=+-x+%2B+3 by subtracting x, so y is equal to -x+%2B+3
3x + y = 3
3x + -x + 3 = 3
2x = 0
x = 0
So ....
x + y = 3
0 + y = 3
y = 3
(0,3) is your solution! That is where the two line's meet.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-x%2B3%2C+-3x%2B3%29+
------
3x-y=9
2x+y=6
Change the second equation to y+=+-2x+%2B+6 by subtracting 2x, so y is equal to -2x+%2B+6
3x - y = 9
3x - (-2x + 6) = 9
3x + 2x - 6 = 9
5x = 15
x = 3
So ....
2x + y = 6
2(3) + y = 6
6 + y = 6
y = 0
(3,0) is your solution! That is where the two line's meet.
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3x-9%2C+-2x%2B6%29+