Solve the system of equations for x, y, and z. Please explain/step-by-step so I can understand. Thanks!

x + y = -7
y + z = -7
x - z = 0

Answers

Answer 1

Answer:

Step-by-step explanation:If we add the first and second equations, we will eliminate both the x and the y.

(2x + y + z) + (2x - y - z) = (3) + (9)

2x + y + z + 2x - y - z = 3 + 9

4x = 12

x = 3

So, x must equal 3.

Now, if we put 3 into each equation, we have the following equations:

6 + y + z = 3

6 - y - z = 9

3 + y - z = 0

Now, we can move all the numbers to the right side:

y + z = -3

-y - z = 3

y - z = -3

Now, we can try to eliminate another variable. If we add the second two equations, we can eliminate y.

(-y - z) + (y - z) = (3) + (-3)

-y -z + y - z = 0

-2z = 0

z = 0 (because, if we divide both sides by -2 to isolate z, 0/[-2] = 0)

So, now we have x = 3 & z = 0.

Now, pick any of the original equations and plug these values of x & z in, and you will get y.

2x + y + z = 3

2(3) + y + 0 = 3

6 + y + 0 = 3

6 + y = 3

y = -3

So, now we have x = 3, y = -3, & z = 0.

These are the only x, y, and z values that work for all 3 equations


Related Questions

h+50 1/6=−200 2/5 Please answer due on 2/10

Answers

So H + 50.16 = -200.4? I’m not sure if I’m write but I would think -250.20 would replace H.
can you elaborate more on you question

if 3x=2z, then 2z=3x whats the explanation

Answers

Answer:

3x+2z =8. 2x=4

Step-by-step explanation:

Answer: Symmetric property

Step-by-step explanation:

This is the Symmetric property.

The Symmetric property states: If x=y, then y=x. This fits the question, since 3x=2z, then 2z=3x.

Hope this helps!! :)

Please let me know if you have any questions

please help!!!!!! i need this done asap!!! brainliest to whoever answers!!

Answers

Answer:

volume = Pi(2x^2+3x-5) x (2x+5)^2    or     P1(8x^4+52x^3+100x^2-125)

Step-by-step explanation:

radius = (4x+10)/2 = 2x+5

volume = Pi(2x^2+3x-5) x (2x+5)^2

volume = Pi(2x^2+3x-5) x (4x^2+20x+25)

volume = P1(8x^4+52x^3+100x^2-125)

Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11

Answers

Answer:

x = 9/11

Step-by-step explanation:

5x = -6x + 9

Add 6x to both sides

11x = 9

Divide both sides by 11

x = 9/11

Answer:
X Equals 9/11

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.

can anyone please answer this if you can i’m confused

Answers

Answer:

Ge I Joe 02 04 Soccer balls height

Help me please!!!!

Write a simplified equation to solve for X.

Using the equation, solve for x

Answers

Answer:

X+X+100° = 180°

Step-by-step explanation:

X+X+100° = 180°

2X= 180°-100°

2X=80°

X=80/2

X=40°

William can pack 60 toys in 4 hours. Find the unit rate with which he packs
toys.
A.16 toys/hour
B.15 toys/hour
C.14 toys/hour
D.13 toys/hour

Answers

the answer is
b. 15 toys/hour

Rearrange to make subject x 4(x-3)/a=y

Answers

Answer:

answer is x = ay + 12/4

Step-by-step explanation:

first we cross multiply on both sides which will give us this

4( x -3)=ay

we then open the brackets by multiplying 4 with x and -3 which gives

4x - 12= ay

then take 12 to the other side

4x - 12+12= ay + 12

4x = ay + 12

divide 4 on both sides

4x /4= ay + 12/ 4

therefore x = ay + 12/ 4

clear steps in picture

hope that can help

ABCD is a trapezium
AD and BC are parallel
Work out the length of BD to 1 decimal place
Work out the length of CD to 1 decimal place

Answers

Answer:

a) 12.1

b) 15.1

Step-by-step explanation:

Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!

Answers

Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

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

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%


What is the value of the 3 in 16.35 ?

Answers

Answer:

3 tenths

Step-by-step explanation:

The face and place value of 3 in the decimal number 16.35 is, 3 and 3×10⁻¹.

What is the standard decimal form of numbers?

The standard decimal form of numbers is written in base 10 as there are 10 different numbers from 0 to 9.

Each digit has a face value and a place value.

We know, A number has two values face value and place value,

Given, A decimal number 16.35.

Now, The digit 3 is one digit after the decimal,

So, It has a face value of 3 and a place value of 3×10⁻¹.

learn more about face value and place value here :

https://brainly.com/question/23719802

#SPJ2

Suppose f(x) = 5x - 2x... Find f(2)​

Answers

f(2)=5(2)-2(2)
f(2)=10-4
f(2)=6

There is a bag with 50 popsicles inside. 5
are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is purple?

Answers

Answer:

25%

Step-by-step explanation:

We know that there are ten purple popsicles. Together without the purple popsicles, there are 40 popsicles in total. Therefore there is a 10/40 chance to get purple. We need to turn this into a percentage so we do (10 / 40) x 100. This would equal to 25%, therefore, there is a 25% probability to get a purple popsicle.

(HELP FAST PLEASE)
Robert runs 2 1/3 laps in 4 1/3 minutes. At this rate how long will it take to run 3 laps?

Answers

Answer:

7

Step-by-step explanation:

This is easy. You simply see what 2 1/3 is of 3. The answer is 7.

Please make brainliest!

Answer:

[tex]5 \frac{7}{50}[/tex]

Step-by-step explanation:

we can write the following ratios

laps:time

2.333:4.3333

3:x

To solve this just multiply 4.333 by 1.28571428571 (this is what we mulitplied 2.333 by to get 3)

do this and round to get 5.14 minutes

let's convert this into a fraction just in case

5.14= 514/100 = 257/50 = 5 7/50

Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent

Answers

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

Answer:

24.53

Step-by-step explanation:

enter a letter.
Line ____ is a transversal.​

Answers

Line C is a transversal line :D

0.7 , 2/3 , 5/8 , 65% in least to greatest

Answers

Answer:

65%,0.7,2/3,5/8

Step-by-step explanation:

Answer:

5/8, 65%, 2/3, 0.7

Step-by-step explanation:

5/8 = .625

65% = .65

2/3= .667

.7 = .7

What is the standard form equation for a 1/2 line that passes though (-3,-3) and (4,2)

Answers

Answer:

y= 5/7x -2.7

Step-by-step explanation:

Y= mx + c                             (-3,-3)   (4,2)

                                           x1  , y1     x2, y2

to find m (gradient)

y^2 - y^1 / x^2 - x^1

2-(-3) / 4 - (-3)

5/7                               m = 5/7

take (4,2)  and gradient and substitute

2=5/7(4) + c

2=4.7+ c

2-4.7 = c

-2.7 = c

now we have c and m so just put it in the equation

y= 5/7x -2.7

Student tickets cost $5.75 each, and adult tickets cost $8.50 each.
Which equation can be used to find the total cost c of any number
of adult tickets t?

Answers

Answer:

c=8.5t

Hope this helps!

What is -9r+10r simplified?

Answers

-4(9r+10)+5(10r+7)

Multiply the first bracket by -4

Multiply the second bracket by 5

(-4)(9r)(-4)(10)

=-36r-40

(5)(10r)+(5)(7)

=-50r+35

-36r-40+50r+35

-36r+50r-40+35 ( rearranging)

14r-5

Answer: 14r-5

Answer:

This is really simple, the answer is 1r, or just r

Step-by-step explanation:

this can also be seen as 10r-9r

=
Solve for x.
18+x=y
x = 0
?

Answers

18

have a nice day!!!

Answer:

The answer is 18

Step-by-step explanation:

18 + x really means 18 + 0, because x is equal to 0

and if 18 + x = y, it means 18 + 0 = y,

so y is equal to 18

hope this helped!

How is the formula to find the slope between any two points the same as rise/run?

Answers

Answer:

because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly

Step-by-step explanation:


Write down two different prime numbers that have a sum of 34.

Answers

Answer:

23+11

Hope that helps  :)

Answer:

31+3

Step-by-step explanation:

2,3,5,7,11,13,17,19,23,27,29,31

31+3=34

Question : Find the length of the missing side. round your answer to the nearest tenth.

Answers

Answer:

8.5

Step-by-step explanation:

Find the value of x in the parallelogram?

Answers

the answer would be C. x= 11

Answer:

A (29)

Step-by-step explanation:

If it's a parallelogram, then opposite sides are parallel.  This means that

20=x-9.  Add 9 to both sides and the you get x=29.  

Find the value of y for the given value of x.
3. y = 3x - 5; x = 2

Answers

Answer:

x=2

Step-by-step explanation:

Answer: Y=1/3   X=2

Step-by-step explanation: Have a brilliant day mate- Lily (^_^)

Plzz mark brainliest if this helped you.

Four months of the year have thirty days only. What fraction of the set
of months is this?​

Answers

Answer:

4/30 or 4/120

Step-by-step explanation:

A family went to a basketball game. They parked the car in a parking lot which charged $5. The cost per ticket was $24. Write an equation for the total cost of going to the basketball game, where y is the total cost an x is the total number of people. If the family spent $173, how many people went to the game?

Answers

Answer:

7 people went to the basketball game.

Step-by-step explanation:

Giving the following information:

They parked the car in a parking lot which charged $5. The cost per ticket was $24.

To calculate the number of people, we need to use the following formula:

Total cost (y)= x*24 + 5

173 = 24x + 5

168/24 = x

7 = x

7 people went to the basketball game.


What is the measure of

Answers

Answer:

<Ber=<kem(vertically opposite angle)

9x-17=3x+31

9x-3x=31+17

6x=48

x=48/6=8

<kem=3×8+31=55°is answer

write the equation of a line in slope-intercept form that has a slope of 5/3 and passes through the point (6,7)

Answers

Answer:

y=5/3x+-3

Step-by-step explanation:

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