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AnnZ [28]
3 years ago
11

3x + y - z= -6 2x - y + 2z = 8 4x + y - 3z = -21

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

x=-1

y=4

z=7

Step-by-step explanation:

3x + y - z= -6(1)

2x - y + 2z = 8(2)

4x + y - 3z = -21(3)

(1)+(2): 5x+z=2(4)

(2)+(3): 6x-z=-13(5)

(4)+(5): 11x=-11

x=-1

so z=2-5x=7

y=-6-3x+z=4

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Rationalize the denominator of the fraction: √5/√8 - √3
Lana71 [14]

Answer:

Step-by-step explanation:

Remark

The editor must have brackets put around the denominator when there are 2 terms.

That means I think the question is (√5) / (√8 - √3). If this is incorrect, leave a note.

To rationalize the denominator, you must multiply numerator and denominator by the conjugate  (√8 + √3).

Solution

√5 *  (√8 - √3) /  ( (√8 - √3) *  (√8 + √3)  )  

I don't think there is any point in removing the brackets in the numerator. Just leave it.

The denominator is a different matter.

denominator = ( (√8 - √3) *  (√8 + √3)  )

√8 * √8 = 8

√8 * √3 = √24

- √3 * √8 = - √24

-√3 * √3 = - 3

Take a close look at the 2 middle terms. They cancel out because one of them is plus and the other minus.

What you are left with is 8 - 3 = 5

So the final answer is

√5 *  (√8 - √3)

=============

5

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