1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa [10]
2 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]2 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

You might be interested in
The keypad on Sam’s cell phone is shown at right. As you can see,
anzhelika [568]

To complete the table we must carefully observe the keypad, we will notice that each number is equivalent to 3 letters of the alphabet except the numbers 7 and 9 which have 4 letters each.

<h3>How does the keypad work?</h3>

Previously, cell phone keypad had a different layout than today. The numbers were related to the letters of the alphabet and the number key was pressed according to the letters that were related.

For example, if you wanted to type the letter B, you would have to press the number 2 key twice.

The relationship of numbers and letters was distributed as follows:

  1. It had no letters.
  2. A, B and C.
  3. D, E and F.
  4. G, H and I.
  5. J, K and L.
  6. M, N and O.
  7. P, Q, R and S.
  8. T, U and V.
  9. W, X, Y, and Z.

According to the above, the table would be completed as follows.

Note: This question is incomplete because there is some missing information. Here is the missing information:

1. Complete this table to show the relation from letter to number.

Learn more about keypad in: brainly.com/question/1156254

3 0
2 years ago
Statements showing a relationship between numbers that are not necessarily equal using the symbols &gt;, &lt;, ≥, ≤, or ≠ are ca
likoan [24]
3.) Inequalities.
Hope it helped.
7 0
3 years ago
Help me find x it’s really hard
Vilka [71]

Answer:

x = 140

Step-by-step explanation:

180 - 65 - 75= 40

180 - 40 = x

140 = x

3 0
2 years ago
A committee of four students is being randomly selected from a group of twenty students. How many combinations of four students
Cloud [144]

Answer:

4,845

Step-by-step explanation:

Hope this helps:)

7 0
2 years ago
There are five times as many cars as trucks on the road. Which fraction represents the number of vehicles that are trucks?
jonny [76]
Well, the ratio of cars to trucks is 5:1, so for every 1 truck, there are 5 cars, the sum would be 6. So that's the denominator, and then the numerator would be 1, since there's only 1 truck out of every 6 vehicles.

Answer:  D. 1/6
5 0
3 years ago
Other questions:
  • A spinner is divided into 8 equal sections: 4 red, 2 white, 1 green and 1 blue. what is the probability that the spinner lands o
    5·1 answer
  • Tomas makes balloon sculptures at a circus. In 180 minuets, he uses 252 balloons to make 36 identical balloon sculptures? a. How
    11·2 answers
  • Harry buys 22 fish he has a round fish bowl and a rectangular fish tank how could he place the fish in the bowl and tank. Equati
    7·1 answer
  • I am helping my sister with home work and I don’t rennet how to do this. Here is the question-“ there are 24 dogs in the dog sho
    7·1 answer
  • Can someone help on this question plz
    9·1 answer
  • Solve the inequality for x.<br> 17 &lt; x - 10<br> Simplify your answer as much as possible.
    9·2 answers
  • (Due in 30 minutes!)
    15·1 answer
  • The bakers at Healthy Bakery can make 270 bagels in 10 hours. How many bagels can they bake in 15 hours? What was the rate per h
    10·1 answer
  • Solve for x.
    6·1 answer
  • Please help me take this pleaseee
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!