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bogdanovich [222]
3 years ago
15

Solve the 3x3 system shown below. Enter the values of x, y, and z.

Mathematics
1 answer:
slamgirl [31]3 years ago
7 0

Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

<u>-x +y  -z = - 4 </u>

0   3y  -2z = -7    (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

<u> -2x +y -z = -5</u>

  0 -y + z= 3     (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y  + z = 3]

<u>    3y  -2z= -7</u>

  y  + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

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Step-by-step explanation:

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3). 1/x + x = 7

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The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

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For point (3, -10)

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For point (4, -16)

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For point (5, -24)

-24 = a(5)² + 5b + c

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Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

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7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

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(7a + b) - (9a + b) = -6 + 8

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From equation (4),

-7(1) + b = -6

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                                                                               divide by 2    
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