SOLUTION: Choose the ordered pair that is a solution to the system of equations. 3x - 2y = 5 6x - 3y = 2 (-8, -11/3) (8, -11/3) (11/3, -8) (-11/3, -8)

Algebra ->  Expressions-with-variables -> SOLUTION: Choose the ordered pair that is a solution to the system of equations. 3x - 2y = 5 6x - 3y = 2 (-8, -11/3) (8, -11/3) (11/3, -8) (-11/3, -8)       Log On


   

Question 258849: Choose the ordered pair that is a solution to the system of equations.
3x - 2y = 5
6x - 3y = 2
(-8, -11/3)
(8, -11/3)
(11/3, -8)
(-11/3, -8)
Found 2 solutions by Fombitz, CharlesG2:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x-2y+=+5+
6x-3y+=+2+
Multiply eq.1 by -2 and add to eq. 2,
-6x%2B4y%2B6x-3y=-10%2B2
+y=-8
Then from eq. 1,
3x-2y=5
3x%2B16=5
3x=-11
x=-11%2F3
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.
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(-11/3, -8)

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
Choose the ordered pair that is a solution to the system of equations.
3x - 2y = 5
6x - 3y = 2
(-8, -11/3)
(8, -11/3)
(11/3, -8)
(-11/3, -8)
3x - 2y = 5
6x - 3y = 2 (solving this one for x)
6x - 3y = 2
6x = 2 + 3y
x = 1/3 + (1/2)y (2/6=1/3 and 3/6=1/2)
3x - 2y = 5 (and plug in and solve for y)
3(1/3 + (1/2)y) - 2y = 5
1 + (3/2)y - 2y = 5
(3/2)y - 2y = 4 (2=4/2)
(-1/2)y = 4
-y = 8
y = -8
6x - 3y = 2 (solve for x plugging in -8 for y)
6x - 3(-8) = 2
6x + 24 = 2
6x = -22
x = -22/6 = -11/3
(-11/3, -8) is the ordered pair that is your answer