Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12

Answers

Answer 1

Step-by-step explanation:

12x-3y+z=-7 ‖-12x+3y

z=-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)=-7

4y+(-21-36x+9y)=-7

13y-21-36x=-7 ‖+21

13y-36x=14 ‖-13y

-36x=14-13y ‖*(-1)

36x=-14+13y ‖/3

12x=-14/3+13/3y

so-6x=+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)=12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y=12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y=12

7+2.5y=12 ‖-7

2.5y=5 ‖/2.5

y=2

so

4y+3z=-7

4*2+3z=-7

8+3z=-7 ‖-8

3z=-15 ‖/3

z=-5

12x-3*2+(-5)=-7

12x-6-5=-7

12x-11=-7 ‖+11

12x=4 ‖/12

x=1/3


Related Questions

Andrew and Kate have $30 to spend on dinner tax and gratuity at Moe's restaurant tax is 6% and they will give a 50% tip on the total bill after taxes their dinner cost $21 which statement correctly explains whether Andrew and Kate have enough money to pay their bill ​

Answers

Given the money which the Andrew and Kate have to spend on dinner is $30.
Tax is 6%
Now we have to find the total cost of dinner. If the cost of dinner is less then the money that the Andrew and Kate have then we can say Andrew and Kate have enough money to pay their bill.
Tax rate = 6%
Total tax= (Tax apply)(dinner cost)
= 0.06\times21
= $1.26
Dinner cost after tax is $21+$1.26
=$22.26
Now it is given that they will give 15% tip on the total bill after taxes
∴ Amount of tip given = 15\% \times 22.26
⇒ = $3.339
Total bill of dinner = dinner cost+Tax+Tip
= $22.26+$3.339
= $25.599
Hence total bill of dinner is less than the money the have to spend.
⇒ Andrew and Kate have enough money to pay their bill.

Joaquin is ordering 5 identical sandwiches and a bag of chips. The bag of chips cost $1.25 and the entire order costs $38.75. Write an equation you can use to find the price of the sandwhich. Let’s represent the price of the sandwhich.

Answers

Answer:

A sandwich costs $7.5

Step-by-step explanation:

Given

Represent chips with c and sandwiches with c

[tex]c = \$1.25[/tex]

[tex]Total = \$38.75[/tex]

From the question, we understand that 5 sandwiches were ordered.

Hence, the question of the system is:

[tex]5s + c = Total[/tex]

Substitute values for Total and c

[tex]5s + 1.25 = 38.75[/tex]

Collect Like Terms

[tex]5s = 38.75 - 1.25[/tex]

[tex]5s = 37.5[/tex]

Divide both sides by 5

[tex]s = \frac{37.5}{5}[/tex]

[tex]s = 7.5[/tex]

HELP PLEASEE :D Ahshsjdhjsbdj​

Answers

Answer: 42

Step-by-step explanation:

Answer:

The answer is option D: 42.

Step-by-step explanation:

First we have to understand that for every 20 students there is one teacher we can find this form the ratio 20:1. Then we are given that there are 840 students. That means for every 20 students in the 840 there is one student. And, 840 divided by 20 equals 42. (please give brainliest)

HELP ME PLZ
m + 3 >= 14 then complete the inequality m-6 >

Answers

They all don’t care when I say peecock

But when I say poopcock everyone stairs

If you can get this before I do I'll give brainliest

Answers

Answer:

The answer is B

Step-by-step explanation:

hope this helps,

please give brainliest if you like my answer,

have a great day

The answer is going to be No since I know that the community property of addition tells that it does not matter if we change the order of the addends, so therefore the sum of this equation would leave it just like that.

So the actual equation that I put into this piece would be 4/5+6.9y-8

Now you have to rewrite this from only trying the (+) sign which comes as

4/5+6.9y+(-8)

So in this first number it’s 4/5 not -4/5 and the other number is -8 not 8.

Therefore Maggie differentiated the signs from these following numbers. Since Maggie did the communitive incorrectly.

Help please I’ll mark brainiest

Answers

Answer:

h = 2.12 , c = 6.93

Step-by-step explanation:

To calculate h:

Apply the cosine identity

[tex]cos\ x =\frac{base}{hypotenuse}\\\\cos\ 45=\frac{h}{3}\\\\0.707=\frac{h}{3}\\\\h=3(0.707)\\h=2.12\\[/tex]

To calculate c:

Apply the tangent identity

[tex]tan\ x=\frac{perpendicular}{base}\\\\tan\ 60=\frac{c}{4}\\\\1.732=\frac{c}{4}\\\\c=1.732(4)\\c=6.93\\[/tex]

h= 2.1
C=6.9

Double check my answers using the picture below or by the long way (Pythagorean’s)

I suggest you memorize the drawings by heart because the 30-60-90 and the 45-45-90 right triangles are considered special in geometry and they will keep testing you on them until you graduate from university !

Hope it helps.

2802 ? 1811 ? 123 ? 441 ? 3633 ? 1/3 ? 32^2 ? 205
Fill in mathematical symbols

Answers

Answer:

The mathematical symbols that are filled in between the numbers to make it a true equation are the multiplication signs.

Step-by-step explanation:

This questions implies that there is a need to fill in mathematical symbols that will this a true a equation.

A true equation can be described as situation whereby there the same values on the either sides of the equal sign "=". For instance, 5 + 1 = 6 is a true equation. Also,  4 * 2 = 8 is a true equation.

As regards this question, the mathematical symbols that are filled in between the numbers to make it a true equation are the multiplication signs. When the multiplication signs are filled in between the numbers, we have the following true equation:

2802 * 1811 * 123 * 441 * 3633 * 1/3 * 32^2 * 205 = 69,972,637,305,761,000,000

1. Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and
the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in standard form that represents Billy's profits last week,
where x is the number of bagels sold and y is the number of sandwiches sold.
Your answer
b. Change the equation for Billy's profit to slope-intercept form.
Your answer
c. Write the equation in function notation.
Your answer

Answers

Answer: a. 2x + 3y = 1560

b. y = -2x/3 + 520

c. f(x) = -2x/3 + 520

Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget

What is the slope in slope-intercept form for these graphs?

Answers

Answer:

Step-by-step explanation:

for this graph  find rise over run ,  and where the line crosses they y axis.. sooo ..

it crosses at -2 and  the slope is rise over run  or y/x and I can see by the graph that the line goes up 1 when it goes over 1... so the slope is +1

sooo...

use the slope intercept form   y = mx + b

y = 1x + (-2)

y = x - 2   :)

Katie owns 2 2/3-acres of land. She divided the land into 1/3-acre lots. How many lots did Katie have?​

Answers

Answer:

8 lots

Explanation:

1/3 into 2 2/3 is just division which is 8 lots

A rectangular living room has an area of 425 ft.² the width of the room is 17 feet

Answers

What are you trying to find? If it’s the length, just divide 425 by 17, which is 35 ft!



how many zeros does f have? explain how you know​

Answers

Eight minus eight equal 90

which pack of towles and containers of shampoo should Toni and her friends choose

Answers

Ahahdvdhauabebdjsjahabeheeg (Bbbbbbbbbb) rhaudbehwhehev

Find the equation of the line specified. The line passes through the points
( 2, 1) and ( 5, 4)

a. y = x + 1
b. y = -X - 1
c. y = x -1
d. y = x + 3

Please select the best answer from the choices provided ​

Answers

Answer:

c

Step-by-step explanation:

substitute (2,1) and (5,4) into each equation

2-1=1 and 5-4=1 so c is correct

C
1=2-1
1=1
4=5-1
4=4
Which mean they go through both points.

anyone know this geometry question ?

Answers

Step-by-step explanation:

Angle ADB + Angle BDC = 90° (right angle)

Since Angle ADB = Angle BDC,

Angle BDC = 90° / 2 = 45°.

Need ASAP


Mia has earned $43.94 of tokens playing games at the amusement center. The store in the amusement center has the following toys for sale. She plans to get toys and donate them to a local charity for needy children. The tokens are only good in this store, so she plans to spend all the tokens. What combinations of toys can she buy in order to spend all the tokens

Answers

Answer:

if she buys 12 things with her 43.94 dollars she will have in the end witch is after she spends her money she will have a 1 dollar and 4 cent

Step-by-step explanation:

so she had 43.94 dollars she can by with it she can buy with it 12 things she can buy a yoyo a doll a duckie a tractor a airplane a ball a racecar a dog a car a elephant and the last thing she can buy is a whistle

a line has a slope of -1/2 and a y-intercept of -2. what is the x-intercept of the line?​

Answers

Answer:

-4

Step-by-step explanation:

I need help and fast

Answers

Answer:

2(4y-5)+3y=23

8y-10+3y=23

combine like terms

11y-10=23

Then add 10 to 23

11y=33

divide by 11

y=3

Step-by-step explanation:

The final answer is y= e

help asap no trolls!!

Answers

Answer:

D

Step-by-step explanation:

if you divide 15 and 108 it will give you get 7.7 but if you do 14 by 108 its 7.2 or 3 but still it would be D


Multiply (1+3i)(2+6i)
Please show work

Answers

Step-by-step explanation:

(1+3i)(2+6i)

1(2+6i)+3i(2+6i)

2+6i+6i+18i²

2+12i+18i²

hope it helps.

What is the measure of AC⏜?

Answers

Step-by-step explanation:

Angle at Center = 2 * Angle at Circumference

Let O be the center of the circle.

By using segment AC,

Angle AOC = 2 * Angle ABC = 2 * 75° = 150°.

Therefore the measure of arc AC is 150°.

An elevator is traveling underground at a constant rate. The equation y=−2x−10 can be used to represent this situation, where y is the position of the elevator underground in feet and x is the number of seconds the elevator has been traveling.

Which statement best describes the position of the elevator, given this equation?


(a)From a starting position of 2 feet underground, the elevator is descending 10 feet per second.

(b)From a starting position of 10 feet underground, the elevator is ascending 2 feet per second.

(c)From a starting position of 10 feet underground, the elevator is descending 2 feet per second.

(d)From a starting position of 2 feet underground, the elevator is ascending 10 feet per second.

Giving brainliest

Answers

Answer:

c is correct

Step-by-step explanation:

I hope this helped have a good day

please help I don't understand

WILL GIVE BRAINLIEST

Answers

Answer: 1.) c

Step-by-step explanation: you have to give the games and rides a variable ( x and y)

need asap
Manny has a pan of lemon bars his friends 6/10 of the lemon bars what fraction of the lemon bars are left?

Answers

4/10 because 10-6 is 4 :)

Answer: 4/10

Step-by-step explanation:

what is 10 divided by 1/2​

Answers

Answer:

20

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

10 divided by 1/2 equals 10 times 2/1

2/1 (or 2) times 10 equals 20

Tamara goes on a spring break trip with her school to visit historical sites in Italy. She purchases $200 of souvenirs while on the trip. She gets back to the U.S. and opens her credit card statement. What will be the balance in her account, assuming she had a zero balance prior to making these purchases and didn't make any other purchases?

Answers

B is the correct answer
Explanation: 200.00

This question is solved using the concept of balance, and doing this, we get that:

The balance in her account will be of -$200.

Balance:

The balance of a credit card is given by the sum of all the earnings subtracted by all the spending.

Tamara:

Initial balance: $0

Purchases: $200

Earnings: $0

Subtracting earnings by purchases:

0 - 200 = -$200

The balance in her account will be of -$200.

A similar question is given at https://brainly.com/question/13280700

1/8 ___ 2/16 ___ 4/24


>; =


=;


=;=

Answers

Answer:

[tex]\frac{1}{8} = \frac{2}{16} < \frac{4}{24}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{8}[/tex] is already simplified, we do not need to change it in any way. Comparing it with [tex]\frac{2}{16}[/tex], which after simplifying is [tex]\frac{1}{8}[/tex], we can see that they are the same. Therefore, [tex]\frac{1}{8} = \frac{2}{16}[/tex].

Now. we compare [tex]\frac{2}{16}[/tex] with [tex]\frac{4}{24}[/tex]. We have already established that [tex]\frac{2}{16}[/tex] is [tex]\frac{1}{8}[/tex], so all we have to do is to simplify [tex]\frac{4}{24}[/tex] and compare it with [tex]\frac{1}{8}[/tex]. Simplifying [tex]\frac{4}{24}[/tex], we get [tex]\frac{1}{6}[/tex], which is larger than [tex]\frac{1}{8}[/tex]. Therefore, [tex]\frac{2}{16} < \frac{4}{24}[/tex].

Hope this helped!

Using the following national income accounting data, compute (a) GDP, (b) NDP, and (c) NI. All figures are in billions. Category Value Compensation of employees $196.2 U.S. exports of goods and services 19.8 Consumption of fixed capital 11.8 Government purchases 59.4 Taxes on production and imports 14.4 Net private domestic investment 52.1 Transfer payments 13.9 U.S. imports of goods and services 16.5 Personal taxes 40.5 Net foreign income 2.2 Personal consumption expenditures 219.1 Statistical discrepancy 0.0 Instructions: Round your answers to one decimal place. a. GDP = $ billion b. NDP = $ billion c. National Income = $ billion

Answers

Answer:

(a) GDP = $333.9 billion

(b) NDP = $322.1 billion

(c) NI = $307.7 billion

Step-by-step explanation:

(a) Compute GDP

This can be computed using the following formula:

GDP = Gross Domestic Product = Personal consumption expenditure + net private domestic investment + government purchases + (US exports of goods - US Imports of goods) ......... (1)

Substituting the values into equation (1), we have:

GDP = $219.1 + $52.1 + $59.4 + ($19.8 - $16.5) = $333.9

Since all figures are in billions, we have:

GDP = $333.9 billion

(b) Compute NDP

This can be computed using the following formula:

NDP = Net domestic product = GDP - Consumption of fixed capital ................... (2)

Substituting the values into equation (2), we have:

NDP = $333.90 - $11.8 = $322.1

Since all figures are in billions, we have:

NDP = $322.1 billion

(c) Compute NI

This can be computed using the following formula:

NI = National Income = NDP - Taxes on production and imports  - Statistical discrepancy ........... (3)

Substituting the relevant values into equation (3), we have:

NI = $322.1 - $14.4 - $0.0 = $307.7

Since all figures are in billions, we have:

NI = $307.7 billion

You earn 255 points for defeating 85 enemies. How many points do you earn for defeating 16 enemies

Answers

Answer:

48 points

Step-by-step explanation:

255/85=3

16X3=48

A rectangle prism has three dimension

Answers

Answer:

yes but what is your question?

Step-by-step explanation:

Answer:

A rectangular prism is a three-dimensional solid with several properties relating to its shape, volume and surface area.

Hope is that the answer u were looking for  :)

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