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Phantasy [73]
3 years ago
8

Classify the system of equations 1/3x+y+5=0 1/2x+y-3=0

Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer: Consistent and Independent.


Step-by-step explanation:

1. To solve this problem and classify the system of equations shown above, you can graph it has you can see in the graph attached.

2. As you can observe in the graph the lines intersect each other, this means that the system of equation has one solution.

3. By definition, when a system of equations has one solution, it is classified as Consistent and Independent.

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ORIGINAL EQUATION:
|x + 2| = 3

TRANSLATE:

x + 2 = 3 or x + 2 = -3


SOLVING for: x + 2 = 3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = 3 - 2

CANCEL out: 2 - 2 because it give you 1

KEEP: 3 - 2 because help solve for the current x-value

NEW EQUATION: x = 3 - 2

SIMPLIFY IT!
x = 1


Thus, your answer is: x = 2

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\


SOLVING for: x + 2 = -3

SUBTRACT 2 to BOTH SIDES

x + 2 - 2 = -3 - 2

CANCEL out: 2 - 2 because it give you 0

KEEP: -3 - 2 because it help solve for the current x-value

NEW EQUATION: x = -3 - 2

SIMPLIFY IT!
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Thus, your answer is: x = -5

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Therefore, your answer is: x = 1 or x = -5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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2 years ago
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pentagon [3]

Answer:

Step-by-step explanation:

I'm taking this to mean

x = 0.255555555555... If this is not correct, leave a note. Multiply by 100

100 x = 25.55555555555555 ...     Divide by 10

  10x =    2.55555555555555 ...     Subtract

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x = 23/90    

Try putting 23/90 in your calculator. You will find it is 0.25555555... just what you were given    

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