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leonid [27]
4 years ago
9

Without graphing, classify the following system as independent, dependent, or inconsistent.

Mathematics
1 answer:
AVprozaik [17]4 years ago
7 0
Dependent. This system is consistent, because the first equation can be rearranged to y+3x=5, which is exactly the same as the second equation, so they don't contradict each other. However, their are infinite number of solutions to the equation y+3x=5, like x=1, y=2; or x=2, y=-1;... so the system is dependent.
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4 years ago
Please help!! I'll give 50 points
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Answer: y=0 and x=3

Step 1: Solve for x in 2x+9y=6.

2x+9y=6

2x=6-9y (Subtract 9y from both sides)

x=3 - 4.5y( Divide both sides by 2)

Step 2: Replace x with 3-4.5y

-7x - 8y = -21\\-7(3-4.5y) - 8y = -21\\

Step 3: Solve for y

(-21)+31.5y-8y=(-21) (By looking at this, we can determine that y=0)

Step 4: Replace y with 0

2x+9y=6\\2x+9(0)=6\\2x=6\\

x=3 (Divide both sides 2)

Therefore, y=0 and x=3

   

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3 years ago
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3 years ago
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insens350 [35]

Answer:

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3 years ago
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