SOLUTION: Solve the system of equations. Determine the number of solutions for each. {1/3x+y=9 {-2x+2y=-6

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve the system of equations. Determine the number of solutions for each. {1/3x+y=9 {-2x+2y=-6      Log On


   

Question 93582: Solve the system of equations. Determine the number of solutions for each.
{1/3x+y=9
{-2x+2y=-6
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!

2/3x+2y=18 Multiply 2 times the upper equation
-2x+2y=-6
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8/3x =24 Subtract the lower equation from the upper
x=9 Multply both sides times 3/8
(-2*9)+2y=-6 Substitute 9 for x in either of the 2 equations
2y=12 Add 18 to both sides
y=6 Divide both sides by 2.