What is the solution to the following system?
X+2y+z=9
X-y+3z=13
2z=10

Answers

Answer 1

Answer:  x = 0; y = 2; z = 5

Step-by-step explanation:

x+2y+z=9

x-y+3z=13

2z=10

==

Start with the last equation:  2z = 10, therefore z = 5 [easy]

Let's rewrite the second equation with 1) z=5, and 2) rearrange to find x:

x-y+3z = 13

x - y +3*5 = 13

x = y-2

Now use the values for x [(y-2)] and y [5] in the first equation:

X+2y+z=9

(y-2) +2y + 5 = 9

3y +3 = 9

3y = 6

y = 2

Now that we have y [2] and z [5], let's use the first equation to solve for x:

x+2y+z=9

x + 4 + 5 = 9

x + 9 = 9

x = 0

====

Try the three values (x=0, y=2, and z=5) in any of the formulas.  The result should/will equal the number shown.


Related Questions


1. Qual é o número obtido ao se calcular
2021 201 + 21 – 1?
-
A) 2244
B) 1820
C) 1821
D)1840
E)1841

Answers

Answer:

2021

201

21

+ 1

= 2244

step by step explanation

Please help! You don’t have to explain how you got the answer! Tysm.

Answers

1.) .777777778
2.) .8
3.) .6
4.) .285714286
5.) .15

A copy machine makes 44 copies per minute. How long does it take to make 187 copies

Answers

It will take 4 minutes and 15 seconds, to make 187
187 / 44 = 4.25
60 seconds per minute / .25 (4) = 15 seconds
So, 4 minutes and 15 seconds (4.25 minutes) is how long it will take to make 187 copies

What is the square root of 9000?

Answers

Approximately 94.8683

Three consecutive even integers have a sum of 36. Find the integers.

Answers

first integer=x

second integer=x+1

third integer= x+2 (x + 1 + 1)

x + (x + 1) + (x + 2) = 36

write each fraction in simplest form

1. 20 in/ 6 ft.
2. 15 min : 3 h
3. 2 kg to 500 g

Answers

Answer:

1. 10 in / 3 ft

2. 5 min / 1 h

3. 1 kg / 250 g

Step-by-step explanation:

In a geometric sequence each term is positive, the first term is 4 and the third term is 9.

What is the sum of the first four terms?

Answers

Answer:

4 _____ 9

the geometric sequence is the addition of 2.5 to every number until the specific amount you are to get

4+2.5=6.5 that is the second term

if I then add 2.5 to 6.5it will give me 9 which is the third term but we are asked to find the sum of the first 4terms so 9+2.5=11.5

if we are to add 4,6.5,9 and 11.5 it would give me =31 which is the final answer.

hope this helps.

A large pumpkin weighs 10.4 pounds. A smaller pumpkin weighs 3.6 pounds. How much less does the smaller pumpkin weigh?

Answers

Answer:

6.8 pounds less than the large pumpkin

Step-by-step explanation:

10.4 - 3.6 = 6.8

I hope this is helpful :)

Combine like terms to simplify the expression:

Answers

Answer:

[tex]\frac{5k -6}{10}[/tex]

Answer:

1/5k + 3/5

Step-by-step explanation:

2/5 * 2/2 = 4/10

4/10k + 1/10k = 5/10k = 1/2k

1/2k + 3/5

HELP PLSPPPPPPPPPPPPPPP

Answers

Answer:

The equation is following the mathematical rule of multiplying exponents.

Step-by-step explanation:

As an example to back up the answer, when you have half of a dollar, that is $0.50, if you took a half (1/2) of $0.50 that would be one fourth (1/4) of a dollar, but half of 50 cents ($0.50) A similar thing is happening with this problem. When you have two numbers (2 and 4) when you multiply them together, they equal to eight (8) for this problem, when you multiply two exponents together, you are raising the coefficient (a real number like 6) to the power of 2, and then taking that number and multiplying it by the power of 4. This is similar to the half of 50 cents, is equal to 1/4 of dollar  ($0.25)

Hope this helps explain multiplying exponents together, and the mathematical rule behind it.

How do I solve these measurement problems?

Answers

Answer:

- Reagan needs to purchase 1346 centimeters. I think it solve like this (238+435)×2 =1346 cm.

- what length of fringe does Raegan need for the longer bedspread? The answer is :

1346 + 27×2 = 1400 cm.

What if there are mistakes, hope you sympathy and forgiveness !!!

Damon works 32 hours per week and earns $10.75 per hour.

a. Estimate his weekly earnings. Explain how you determined

your estimate.

b. Find the exact amount he earns per week.

c. Is your answer reasonable based on your estimate? Explain.

u will be awarded brainlest if u answer this correctly.

Answers

A 340
B 10.75 times 32 is 344$
C they are both close

Please help me and tysm i’m advance!!

Answers

Answer:

[tex]r = \sqrt{\frac{3V}{'pi'h}}[/tex]

replace the 'pi' in that equation to the symbol pi, π

Step-by-step explanation:

Perimeter of Triangle Please. Thank you ASAP

Answers

Step-by-step explanation:

The perimeter of a parallelogram is twice the sum of the length of a longer and a shorter side.

The length can be evaluated by the distance formula between two points (x_1,y_1), (x_2, y_2)

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For the longer side,

[tex]d=\sqrt{(7-(-4))^2+(3-2)^2}=\sqrt{122}[/tex]

or the shorter side,

[tex]d=\sqrt{(7-6)^2+(3-(-2))^2}=\sqrt{26}[/tex]

Therefore, the perimeter is given by,

[tex]2(\sqrt{122}+\sqrt{26})\approx254.2[/tex]

15b.) If the paint costs $6,50 a gallon and each gallon
covers 128 ft of wall, how much will it cost to paint the
room?

Answers

I can’t answer because I don’t know the total area of the walls, if I have that I can help you

helpppp 2x-1>5 and 3x-5<19

Answers

Answer:

3 < x < 8

Step-by-step explanation:

Solve each part separately

2x - 1 > 5 ( add 1 to both sides )

2x > 6 ( divide both sides by 2 )

x > 3 , that is

3 < x

and

3x - 5 < 19 ( add 5 to both sides )

3x < 24 ( divide both sides by 3 )

x < 8

Then putting the two together

3 < x < 8

Select the correct answer.
A vegetable farmer fills of a wooden crate with 1 of a pound of tomatoes. How many pounds of tomatoes can fit into one crate?
A. 2 pounds
B. of a pound
c 11 pounds
D. 14 of a pound

Answers

I think the answer is A, i’m not sure about that

is -15 an integer and rational number?​

Answers

Answer:

I guess it would help you

i hope this helps i’m not to sure if it is a integer or a rational number

The triangles shown below must be congruent.
80°
10
800
510
510
O A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Answer:

A. True

because they  are identical shapes

tom is 2 kg heavier than harry, who is 3 kg heavier than ben. when they add up all their weights, it comes to 65 kg. how many kg does harry weigh?

Answers

Answer:

Step-by-step explanation:

Let Harry = x

Tom = harry + 2

Tom = x + 2

Ben + 3 = harry

harry - 3 = ben

x - 3 = ben

Tom + harry + Ben = 65

x + 2 + x + x - 3 = 65

3x - 1 = 65                         Add 1 to both sides

3x = 65 + 1

3x = 66                             Divide by 3

x = 66/3

x = 22

So harry = 22 kg

3(4x+2)=20x-9x+2 what is the value of x?

Answers

Simplifying
3(4x + 2) = 20x + -9x + 2

Reorder the terms:
3(2 + 4x) = 20x + -9x + 2
(2 * 3 + 4x * 3) = 20x + -9x + 2
(6 + 12x) = 20x + -9x + 2

Reorder the terms:
6 + 12x = 2 + 20x + -9x

Combine like terms: 20x + -9x = 11x
6 + 12x = 2 + 11x

Solving
6 + 12x = 2 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
6 + 12x + -11x = 2 + 11x + -11x

Combine like terms: 12x + -11x = 1x
6 + 1x = 2 + 11x + -11x

Combine like terms: 11x + -11x = 0
6 + 1x = 2 + 0
6 + 1x = 2

Add '-6' to each side of the equation.
6 + -6 + 1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6

Combine like terms: 2 + -6 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

Answer:

x = -4

Step-by-step explanation:

3(4x+2)=20x-9x+2

12x +6 = 11x +2

1x = -4

SOMEONE PLEASE ANSWER!!!!
Evaluate each expression for t = 0, x = 1.5, y = 6, and z = 23
1. y + 5 = ??

2. z - 2x = ??

3. 2z - 2y = ??

4. 2.6y - 2x =??

5. 4(y - x) = ??

6. 4(2 + z) + 5 = ??

Answers

Answer:

1. 11

2. 20

3. 34

4. 12.6

5. 18

6. 105

Step-by-step explanation:

We are told that ---> t = 0, x = 1.5, y = 6, and z = 23

1. y + 5

= 6 + 5

= 11

2. z - 2x

= 23 - 2(1.5)

= 23 - 3

= 20

3. 2z - 2y

= 2(23) - 2(6)

= 46 - 12

= 34

4. 2.6y - 2x

= 2.6(6) - 2(1.5)

= 15.6 - 3

= 12.6

5. 4(y - x)

= 4(6 -  1.5)

= 24 - 6

= 18

6. 4(2 + z) + 5

= 4(2 + 23) + 5

= 8 + 92 + 5

= 105

Which number sentence is not true?
O A) |–1>
OB) |-1=-1
O C) <1-11
D) ||<1-11

Answers

The answer that isn’t true is choice B

-8.2 +9.1
Yes I’m just making sure I got this question right but tell me what the answer is pls!

Answers

Answer:

0.9 is your answer.

Evaluate 5k + 1 when: *
4 points
101 15 43 36 37 16 - 19 99 120
k = 3
k = - 4
k = 20
k = 7
k = 3
k = - 4
k = 20
k = 7

Answers

1

k^2 = 4k

k = 0, k = 4

#2

k^2 - 5k = k + 7

k^2 - 6k = 7

k^2 - 6k + 9 = 16

k - 3 = 4 ⇒ k = 7

k - 3 = -4 ⇒ k = -1

#3

k^3 - 5k^2 + 3k = -k

k^3 - 5k^2 + 4k = 0

k(k^2 - 5k + 4) = 0

k = 0, k = 1, k = 4

#4

|k + 1| + 2 = 8

|k + 1| = 6

k = 5, k = -7

Natalie is baking a cake and cookies for her daughter's class party. She needs 1 2/3 cups of milk for the cake and 1/2 cup for the cookies. If she
has 3 cups of milk total, how much will she have left?

Answers

answer- 0.833 cups
hope this helps

Answer:

answer- 0.833 cups

Step-by-step explanation:

Washington High School is building a new running track. The track is
constructed from a rectangle and two semicircles, as shown.
10244
500R
What is the best estimate of the total distance around the track?
A) 1320 feet
B) 1000 feet
C 1204 feet
D) 1560 feet​

Answers

Hey there!

The correct option is:

B) 1000 feet

Explanation:

The best estimate of the total distance around the track is 1000 feet.

Hope it help you

Helppppppop meeeeeee

Answers

Answer:

option b

is the answer

please check it

Calvin owns a toy store. He can spend at most $200 on restocking cars and dolls. A doll costs $6.50, and a car costs $8.00. Let x represent the number of cars, and let y represent the number of dolls. Identify an inequality for the number of toys he can buy. Then identify the number of dolls Calvin can buy if he buys 10 cars.

8x + 6.50y ≤ 200; no more than 19 dolls
8x + 6.50y ≤ 200; no more than 18 dolls
6.50x + 8y ≤ 200; no more than 19 dolls
6.50x + 8y ≤ 200; no more than 18 dolls

Answers

The required inequality expression is 8x + 6.50y ≤ 200

Maximum amount he can spend = $200

Cost of doll, = $6.50

Cost of car = $ 8.00

Mathematically, the maximum amount he can spend on restocking is cars and doll is :

(Cost of cars × number of cars) + (cost of doll × number of dolls) ≤ maximum amount

8x + 6.50y ≤ 200

Hence, the required inequality expression is : 8x + 6.50y ≤ 200

Learn more : https://brainly.com/question/15748955

Is 2.200929 rational

Answers

Yes, it is rational! Explanation: rational numbers can be made into fractions.
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