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DENIUS [597]
3 years ago
5

Keisha is reading a 325-page book at a rate of 25 pages per day. Use a point-slope equation to determine

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
To determine whether Keisha will be able to finish reading the book in 10 days, establish first the point-slope form of the scenario.

If we let y be the number of pages in a book and x be the number of days the slope-intercept form is as follows:
    y = 25x

To determine the value of x if y is equal to 325,
   325 = (25)(x) 

    x = 325/25
    x = 13

Since the value of x is greater than 10 then, Keisha will not be able to finish reading the book. 
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Answer:

  x = 0; y = -6; z = 1

Step-by-step explanation:

You want to find the solution to the system of equations ...

  • 9x+y-3z=-9
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<h3>Solution</h3>

This set of equations is conveniently solved using the matrix row-reduction features of a scientific or graphing calculator, spreadsheet, or any of a number of apps or on-line calculators.

The attachment shows the solution to be ...

  (x, y, z) = (0, -6, 1)

__

<em>Additional comment</em>

Solving a system of three or more equations "by hand" often can be done by an ad hoc process. It can be done in systematic fashion using Gauss-Jordan reduction techniques, but that often gets messy. Similarly, Cramer's Rule can be used, but that math tends to involve more arithmetic operations than are really necessary.

Adding the first equation to the other two eliminates the y-variable and reduces the system to two equations in two unknowns.

  (9x +y -3z) +(10x -y +2z) = (-9) +(8) . . . . adding [1] and [2]

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  (9x +y -3z) +(-10x -y +4z) = (-9) +(10) . . . . adding [1] and [3]

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At this point, we could graph the two equations, or we can proceed algebraically.

Adding these two equations gives ...

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  0 +z = 1   ⇒   z = 1

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  -y = 6 . . . . . subtract 2

  y = -6 . . . . multiply by -1

Then the solution is (x, y, z) = (0, -6, 1), as above.

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