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alina1380 [7]
3 years ago
8

Please help exponents and scientific notation

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0
Alright! When you have a constant to a power times another constant to a power (ex. [x^3 times x^3] ) you simply add the powers and keep the base [x^6]. When you have a power to a power (ex. [(12^3)^3] ) you multiply the powers and keep the base [12^9]. When you have a constant to a power divided by a constant to a power (ex. [ x^2 divided by x^5] ) you subtract the powers and keep the base. It's hard to see the questions, so I'll leave this here for you to use as a guide.
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6x − y + z = −3<br> 4x − 3z = −13<br> 2y + 5z = 15<br> Find the solutions?
Alla [95]

Answer:

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Step-by-step explanation:

Given three linear equation as :

6 x - y + z = - 3        ......A

4 x - 3 z = - 13           ......B

2 y + 5 z = 15            ......C

Solving eq A and C

I.e 2× (6 x - y + z ) = -3 ×2

or, 12 x - 2 y + 2 z = - 6

So, ( 12 x - 2 y + 2 z ) + ( 2 y + 5 z) = - 6 + 15

Or,  12 x + 7 z = 9         ......D

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or,  16 z = 48

∴   z = \frac{48}{16}

i.e  z = 3

put the value of z in eq D

So, 12 x + 7×3 = 9  

Or, 12 x = 9 - 21

or,  12 x = - 12

∴   x = -  \frac{12}{12}

I.e  x = - 1

Now, Put The value of z in eq C

or, 2 y + 5 z = 15    

or,  2 y + 5 × 3 = 15

Or,  2 y = 15 - 15

or,  2 y = 0  

∴  y = 0

Hence The solution of the equation are x = - 1 , y = 0 and z = 3  Answer

8 0
3 years ago
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