SOLUTION: x+y=3 2x-3y=16

Question 442408: x+y=3
2x-3y=16
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
I am going to do this using substitution and then by elimination.
SUBSTITUTION METHOD
Let's solve the first one in terms of y.
y = 3-x.
Plug 3-x where you see y in the second equation.
2x - 3(3-x) = 16
2x - 9 +3x = 16
5x -9 = 16
5x = 25
x = 5
Plug x=5 back into the other equation.
2(5) - 3y = 16
10 - 3y = 16
-3y = 6
y = -2
So our solution is (5,-2) or

ELIMINATION METHOD
x+y =3
2x-3y=16
I'm going to eliminate the y.
Multiply the top equation by 3.
3(x+y = 3)
2x-3y = 16
-------------Simplify
3x+3y=9
2x-3y=16
Add the two equations together.
5x + 0y = 25
x = 5
Then substitute x=5 back into one of the original equations, let's use the first.
5 + y = 3
y = -2
So your solution is (5,-2) or

Hope this helped!
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