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Inessa [10]
3 years ago
11

Solve for z? 2x-4y+4z-6w=4 6w-4x+4y-4z=-12 6w+4x-2y+6z=64 4z+2w+6y-4x=56

Mathematics
1 answer:
NikAS [45]3 years ago
4 0

Answer:

z ≈ 9.22

Step-by-step explanation:

Given the equations

2x-4y+4z-6w=4 ................ 1

6w-4x+4y-4z=-12 ...............2

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

We will first need to reduce the equation by cancelling out some variables.

Add equations 1 and 2 will give;

(2x-4x)+(-4y+4y)+(4z-4z)+ (-6w+6w) = 4+12

-2x +0 = 16

-2x = 16

x = -8

Also, equation 2 minus 3

6w-6w+(-4x-4x)+4y+2y+(-4z-6z) = 12-64

-8x+6y-10z = -52

-8(-8)+6y-10z = -52

64+6y-10z = -52

6y-10z  = -52-64

6y-10z = -116

3y-5z = -58 ... 5

Equation 3 * 1 and eqn 4 * 3

6w+4x-2y+6z=64 ............... 3

4z+2w+6y-4x=56 ................ 4

6w+4x-2y+6z=64

12z+6w+18y-12x= 168

Subtracting both equations;

16x-20y-6z = -104

8x-10y-3z = -52

8(-8)-10y-3z = -52

-64-10y-3z = -52

-10y-3z = -52+64

-10y-3z = 12 ....... 6

equating 5 and 6 and solving simultaneously;

3y-5z = -58 ... 5 * 10

-10y-3z = 12 ....... 6 * 3

30y-50z = -580

-30y-9z = 36

Add both equations

-50z-9z = -580+36

-59z = -544

z = -544/-59

z = 9.22

Hence z ≈ 9.22

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Step-by-step explanation:

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ANTONII [103]

Answer:

A.  Last month's electricity bill was 5.4 kW-h less than 30% of this month's bill.

Step-by-step explanation:

The given expression is:

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3 years ago
Read 2 more answers
An Ap is such that 5 th term is three times the 2nd term.given further that the sum of the 5th,6th,7th,8th term is240,calculate
Fiesta28 [93]

Answer:

  5

Step-by-step explanation:

The general term of an arithmetic progression is ...

  an = a1 +d(n -1)

where a1 is the first term and d is the common difference.

Here we are given that ...

  a5 = 3×a2

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__

In terms of a1 and d, these tell us ...

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  a1 +4d = 3a1 +3d . . . . . eliminate parentheses

  d = 2a1 . . . . . . . . . . . subtract a1+3d

and ...

  (a1 +4d) +(a1 +5d) +(a1 +6d) +(a1 +7d) = 240

  4a1 +22d = 240

Substituting for d, we have ...

  4a1 +22(2a1) = 240

  48a1 = 240

  a1 = 240/48 = 5

The first term is 5.

8 0
3 years ago
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