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vredina [299]
3 years ago
13

Without graphing, classify the following system as independent, dependent, or inconsistent. y=-3x+4 and 6x+2y=8

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Answer:

Dependent

Step-by-step explanation:

y=-3x+4 and 6x+2y=8

Lets solve the second equation for y and then substitute it in first equation

6x+2y=8

Subtract 6x on both sides

2y=-6x+8

Divide by 2 on both sides

y=-3x+4

Now we plug it in first equation for y

-3x+4=-3x+4

Add 3x on both sides

4=4

Both sides are same, they are equal. the system has infinite solutions.

They are said to be dependent

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your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. yo
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<u>A </u><u>pair of shoes</u><u> gives us</u><u> 48 </u><u>different outfits.</u>

What is a linear equation?

  • A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
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We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

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By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

Learn more about linear equation

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