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Triss [41]
3 years ago
8

5x – 3y = -21 2x - 9y = 54

Mathematics
1 answer:
elena55 [62]3 years ago
8 0

Answer:

I'm confused

Step-by-step explanation:

What am I suposed to do?

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Solve the system by substitution<br> -x - y - z= -8<br> -4x + 4y + 5z = 7<br> 2x + 2z = 4
Stella [2.4K]

First:

2x + 2z = 4

2(x+z)=4

x+z=4/2

x=2-z

-x - y - z=  -8

-(2-z)-y-z= -8         replace x

-2+z-y-z= -8          (cancel z)

-2-y= -8

6 = y

Then:

-4x + 4y + 5z = 7  replace x and y

-4(2-z)+4*6 + 5z = 7

-8 + 4z + 24 + 5z = 7

16 + 9z = 7

9z = 7 - 16

9z = -9

z = -9/9

z= -1

Finally

x= 2-z  replace z

x = 2- (-1)

x = 3

5 0
3 years ago
Translate and solve: eight more than the product of three and a number is -13
Murrr4er [49]
Ok, so let’s take the given phrase.
Eight more than the product of 3 and a number is -13. A translation to numbers looks like this:
3x + 8 = -13
Now, let’s solve for x. We can start the process by subtracting 8 from both sides.
3x = -21
now, we will divide each side by 3 to isolate the variable, thus solving for x.
x = -7
6 0
3 years ago
Please answer this correctly without making mistakes
Mamont248 [21]

Answer:

99g

Step-by-step explanation:

I'm guessing on this one but maybe because a whole number has no remainder

7 0
3 years ago
Read 2 more answers
A student charges twenty dollars per hour to type college papers. The student's average typing speed is fifty words per minute.
coldgirl [10]

Answer:

The student should charge $210 for typing the paper ⇒ answer C

Step-by-step explanation:

* Lets explain how to solve the problem

- The rate of the student's typing is 50 words per minute

- The students charges twenty dollars per hour to type the college

 papers

- There is a paper contains 31,500 words

- We want to now how much the student should charge for it

* At first lets find his rate per hour

∵ 1 hour = 60 minutes

∴ 1 minute = 1/60 hours

∵ His rate = 50 words / 1 minute

- Lets change the minute to hour

∴ His rate = 50/(1 × 1/60) = 3000 words per hour

* Lets find the time he needs to finish the paper

∵ The paper contains 31,500 words

∵ Time = The number of words ÷ his rate of typing

∵ his rate is 3000 words per hour

∴ Time = 31,500 ÷ 3000 = 10.5 hours

∴ He needs 10.5 hours to finish the paper

∵ He charges $20 per hour

∵ The time to finish the paper is 10.5 hours

∵ The price of typing the paper = the charge per hour × number

   of hours

∴ The price of typing the paper = 20 × 10.5 = 210

∴ The student should charge $210 for typing the paper

7 0
3 years ago
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Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of
ziro4ka [17]

Step-by-step explanation:

15 \times x \times 6 \\ \ \\   = 15 \times 6 \times x = 90x

3 0
2 years ago
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