Question 1119621: Solve the system by the method of elimination. (If there is no solution, enter NO SOLUTION. If the system is dependent, enter a for x and enter y in terms of a.)
3x-6y=8
-6x+12y=-16
(x,y)
Found 3 solutions by josgarithmetic, greenestamps, Alan3354:
Answer by josgarithmetic(39621)   (Show Source):
You can put this solution on YOUR website! One should be able to identify the slopes of these two standard form linear equations, and that will tell you what you most of what you need to know.
Ax+By=C has a slope  .
Answer by greenestamps(13203)  (Show Source):
You can put this solution on YOUR website!
Multiply the first equation by 2 and add to the second equation. The result is
0 = 0
That equation is always true. Any (x,y) value satisfying one equation will satisfy the other. The equations are equivalent; the two equations are dependent.
So according to the instructions we set x = a and solve for y in terms of a:
3x-6y = 8
3a-6y = 8
3a-8 = 6y
y = (3a-8)/6
The solutions are any ordered pairs in the form (a,(3a-8)/6).
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! If there is no solution, enter NO SOLUTION.
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Enter it where?
What else would we do if there is no solution.
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If there is no solution, HAVE ANOTHER DRINK.
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I find "If there is no solution, enter NO SOLUTION." insulting and condescending.
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