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

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 Question 442408: x+y=3 2x-3y=16Answer by swincher4391(726)   (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!