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Nimfa-mama [501]
3 years ago
8

Solve each system by graphing: Y= 1/4x-4 Y= -x+1

Mathematics
1 answer:
AlexFokin [52]3 years ago
4 0
Do you have a graphing calculator?  if yes than all you have to do is hit the y= button in the top left corner and type 1/4x-4 for y1. then you need to hit graph in the top right corner.  repeat this process substituting 1/4x-4 and -x+1
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Answer:

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Step-by-step explanation:

Let's start by studying each question :

1)

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In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set x=4 we will have only one free variable in R^2 (which is a line in R^2). Therefore, x=4 represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set x=4 we will have only two free variables (y and z) and x=4 will represent a plane (which have two dimensions) in R^3.

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Using the same reasoning, the equation z-4y=8 represents a plane (given that it has two free variables : ''y'' and ''x'')

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The final answer is a) a line.

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