3x + 4y -z = 1
3x-y-4z=-3
x+3y-3z = 9

*Use Elimination to solve*​

Answers

Answer 1
Answer:
x = -3
y = 2
z = -2


Step-by-step explanation:

When solving by elimination:
• Subtract equations that have a variable with the same coefficient
• Add equations that have a variable with the same coefficient but different sign

1. Label your equations
3x + 4y - z = 1 [1]
3x - y - 4z = -3 [2]
x + 3y - 3z = 9 [3]


2. Add/Subtract equations
[1] - [2], both have “3x”
3x + 4y - z = 1 [1]
3x - y - 4z = -3 [2]
————————
5y + 3z = 4 [4]


Multiply [3] by 3
=> 3x + 9y - 9z = 27 [5]

[5] - [2], both have “3x”
3x + 9y - 9z = 27 [5]
3x - y - 4z = -3 [2]
—————————-
10y - 5z = 30
2y - z = 6
-z = 6 - 2y
z = 2y - 6 [6]


Substitute [6] into [4]
5y + 3z = 4 [4]
5y + 3(2y - 6) = 4
5y + 6y - 18 = 4
11y - 18 = 4
11y = 22
y = 2 ⭐️


Substitute y = 2 into [6]
z = 2y - 6 [6]
z = 2(2) - 6
z = 4 - 6
z = -2 ⭐️

Substitute y = 2, z = -2 into [3]
x + 3y - 3z = 9 [3]
x + 3(2) - 3(-2) = 9
x + 6 + 6 = 9
x + 12 = 9
x = -3 ⭐️


Therefore, x = -3, y = 2 and z = -2.

Related Questions

Which of the following relations is a function?
I.
{(0, 0), (0, 1), (0, 2)}
II.
{(0, 0), (1, 1), (2,4)}
III.
{(0, 0), (1, 2), (2, 2)}
IV.
{(0, 0), (1, 2), (1,3)}
O (A) I, II, and Ill only
O (B) I and II only
O (C) I and III only
O (D) III and IV only
Someone I need it asapppp

Answers

Answer: is II and III an option those are the ones that would be correct.

Step-by-step explanation:

You can only have one of each domain. For example you cannot have (0,0) and (0,1) since that won’t pass the vertical line test, you can have (0,0) and (4,0) as long as the domains are different, they can still have the same ranges.

Giovanni justifies whether the expression –4x – 8 is equivalent to Negative 2 (x + 1) minus 2 (x + 3) by letting x = 3 in both expressions. What is the value of each expression when x = 3?

Answers

Answer:

They are equivalent

Step-by-step explanation:

-4(3)= -12 -8 = -20

-2 (3+1)= -6-2 = -8

-2(3+3)= -6-6 = -12 -8+-12=-20

both equal -20.

Answer:

-20 -20

Step-by-step explanation:

what is the slope for a line that is perpendicular to the line y=-5+4

Answers

Answer:

just change the signs

Step-by-step explanation:

y=5-4

What year is this car

Answers

Answer:

2006???

Step-by-step explanation:

lmk if it was right im curious lol

3.8 as a simplified percent

Answers

Answer:

i think 38%

Step-by-step explanation:

Answer:
380%

Explanation:
To change a decimal to a percentage, multiply the decimal by 100.

3.8*100=380

I hope this helps! Please comment if you have any questions.

The distance between - 5 and -7​

Answers

Answer:

-2

Step-by-step explanation:

Item 1 A discounted concert ticket costs $14.50 less than the original price p . You pay $53 for a discounted ticket. Write an equation that can be used to find the original price. Equation: =53 Find the solution to your equation. The original price of the ticket was $.

Answers

Answer:

$53 + $14.50 = x

x = $67.50

Step-by-step explanation:

Let us assume the original price be x

It is given that

The discounted ticket is $53

And, the discounted concert ticket cost is $14.50 lower than the orginial price

So, the equation is

$53 + $14.50 = x

Now the x is

= $53 + $14.50

= $67.50

Hence, x denotes the original price of the ticket

We simply added the above two amounts

You got to McDonald's and order some food for you and your friends.Your friends give you a list of what you need to order: 1 cheeseburger, 2 orders of fries, 3 cheeseburgers, and 3 orders of fries. How can you simplify this order so that way you don't have to read of the exact list they gave you.

Answers

Answer:

4 cheeseburgers and 5 fries.

Step-by-step explanation:

Here, the orders given are as follows:

1 cheeseburger,

2 orders of fries,

3 cheeseburgers, and

3 orders of fries

If we observe closely, it can be seen that there are orders of cheeseburgers 2 times and orders of fries also 2 times.

In order to simplify the given list, we must add the similar kind of orders together.

Therefore the given order list can be written as:

1 cheeseburger + 3 cheeseburgers, and

2 orders of fries + 3 orders of fries

OR

In other words:

4 cheeseburger, and 5 orders of fries

Therefore, the simplified order is:

4 cheeseburger, and 5 orders of fries

Enter the number that makes the equation true 2 7/8+1 4/5=__ +1 32/40​

Answers

Answer:

yo mama

Step-by-step explanation:

PLZ PLZ PLZ HELP ME :( IM CRYING RIGHT

Answers

Answer:

Step-by-step explanation:

x = 150

1/3 x =  50

x -20 = 30

x -10 = 140

Are u ok ????

What is the solution to 10(2x - 4) = 100x? Please do your best.

Answers

10(2x-4)=100x

20x-40=100x

-40=100x-20x

-40= 80x

-40/80x= -0.5

10(2x-4)=100x

20x-40=100x

20x=100x+40

20x-100x=40

-80x=40

Answer : x= - 1/2

03.01 MC) A surveyor randomly interviewed 65,439 people who live in Virginia to gather information on whether national healthcare is accomplishing its goals. Part A: What are the population and sample in this survey? (4 points) Part B: The survey found that 71% of females and 88% of males visited a family doctor at least once in the past year. Do you think these approximations of the sample are close to approximations of the entire population? Explain. (6 points)

Answers

Answer:

Part A: The population and the sample of the survey are;

The population = The entire population of the country

The sample = 65,439 people in the state of Virginia

Part B: Given that the survey was based on only one state and only one model of health care delivery, the approximations of the sample will not be close to the approximations of the entire population

Step-by-step explanation:

The given information are;

The number of people interviewed in the survey = 65,439 people

The location of the people surveyed = Virginia

The goal of the survey = The effectiveness of the national healthcare

The number of females that visited a family doctor at least once in the past year = 71%

The number of males that visited a family doctor at least once in the past year = 88%

Part A: The population and the sample of the survey are;

The population = The entire population of the country

The sample = 65,439 people in the state of Virginia

Part B: Given that the survey was based on only one state and only one model of health care delivery, the approximations of the sample will not be close to the approximations of the entire population.

Use the Distributive Property of Division to rewrite the following. (pls Simplify) 9+12n/3

Answers

Answer:

The answer to this equation is 9+4n

Write an equation in point-slope form of the line through point J(-5,6) with slope -4.

Answers

Answer:

y-6=-4(x+5)

Step-by-step explanation:

-4 is the slope

point slope formula:

y-y^1=m(x-x^1)

plug in values and you get the point slope form

Find the range of allowable values based on the given information.

Round to the nearest tenth.

15; can vary by 2%

Answers

Answer:

14.7 to 15.3

Step-by-step explanation:

To find the range of values that can are permitted to vary by 2% of 15, first,

find the value of 2% of 15:

[tex] \frac{2}{100} * 15 = \frac{30}{100} = 0.3 [/tex]

The range of values allowed would either be 0.3 less than 15 or 0.3 more than 15.

Thus, the values would be:

15 ± 0.3

= 15 - 0.3 or 15 + 0.3

= 14.7 or 15.3

This means the minimum value allowed is 14.7, while the maximum value allowed is 15.3.

Therefore, the answer is:

14.7 to 15.3

Answer:

14.7 to 15.3

Step-by-step explanation:

Step-by-step explanation:

To find the range of values that can are permitted to vary by 2% of 15, first,

find the value of 2% of 15:

The range of values allowed would either be 0.3 less than 15 or 0.3 more than 15.

Thus, the values would be:

15 ± 0.3

= 15 - 0.3 or 15 + 0.3

= 14.7 or 15.3

This means the minimum value allowed is 14.7, while the maximum value allowed is 15.3.

Therefore, the answer is:

14.7 to 15.3

10- 4 2/3 subtraction

Answers

Answer:

17/3

Step-by-step explanation:

or 5 2/3

Answer:

16/3 or 5 1/3

Step-by-step explanation:

keep switch flip the fractions

If a transversal crosses three non-parallel lines, how many pairs of vertical angles are formed? Explain your answer

Answers

Answer: Each transversal crossing a line generates 2 pairs of vertical angles and for 3 transversal crossing the same line it will be 3 x2 = 6 pairs (or 12 angles)

Step-by-step explanation:

Simple Answer: Six pairs of vertical angles are formed, two for each line crossed by the transversal.

(●'◡'●) ^_^

The nth term of an arithmetic sequence is given by an
an= 4 + 5(n-1). If you were to graph ordered pairs where x is the term number and y is the term, what linear equation would describe the line that passes through the points?

Answers

Answer:

            y = 5x - 1

Step-by-step explanation:

aₙ = y    n = x

aₙ =  4 + 5(n-1)

y  = 4 + 5(x - 1)

y = 4 + 5x - 5

y = 5x - 1

if the altitudes of an equilateral triangle are all 18cm how long are its sides?

Answers

Answer:

Every side on a equilateral triangle are the same.

Step-by-step explanation:

18cm for each side

The sum of four consecutive integers is –18. What is the greatest of these integers?

Answers

Answer: -3

Step-by-step explanation:

The Consecutive numbers would be -3, -4, -5, -6. If you add them all up it equals -18. -3 is the greatest of the numbers as it is closest to 0.

Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.
Each hour that he drives, his car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 2 hours? How much gas would be left after t hours?

Answers

Answer:

gas after 2 hours would be 11 I dont get the t hours part

...I don’t understand umm can anyone help me smh-

Answers

Answer:

{Rounded to the nearest Hundredths place}

1) Mercury= 170.55
2) Venus= 277.86
3) Earth= 389.62
4) Mars= 401.29

Explanation:

Mercury: 3.3022 x 10^19= 170.549894825 which rounds to 170.55

Earth: 5.9722 x 10^24= 389.618945662 which rounds to 389.62

Venus: 4.8675 x 10^21= 277.855972801 which rounds to 277.86

Mars: 6.4185 x 10^23= 401.287714067 which rounds to 401.29

•So smallest to largest would be• 170.55, 277.86, 389.62, and 401.29

[I hope this helps][Sorry if it doesn’t make sense]

What value of x is in the solution set of 3(x – 4) = 5x + 2?


A0 -10
B-5
C5
D10

Answers

Answer:

-5?

Step-by-step explanation:

3(x - 4) = 5x - 2

3x - 12 = 5x - 2

3x - 5x = -2 + 12

-2x = 10

x = -5

-5 I think


Explanation:

Multiply the following:

(-4x^5) (2x^6)

Answers

Answer:

-8x^11

Step-by-step explanation:

Antoine made $33,284 last year. He received a 4.5% annual raise. What will his new salary be for the coming year?

Answers

Answer:

$34,781.78

Step-by-step explanation:

the annual salary is $33,284 which is 100%and the raise is 4.5%which you add 100% .u add the 100% because it is a profit .then it becomes 104.5% .

the equation is: $33,284=100%

? =104.5%

Cross multiply then the equation is:

$33,284×104.5%/100%=34,781.78

Find the roots of each equation by factoring. 0=x^2–169

Answers

Answer:

x=13

Step-by-step explanation:

[tex]0=x^2-169[/tex]

[tex]169=x^2[/tex]

x=13

Hope this helped you.

<3

Red

If f(x) = 8 - 5x, find f(3) *

Answers

Answer:

Step-by-step explanation:

f(3)= 8-5(3)

=8-15

=-7

A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 perrl cup. Company D does not have a flat fee but charges $30 per cup.

What is the minimum number of cups that must be ordered for company C to be a better deal than company D?​

Answers

Answer:

11 cups

Step-by-step explanation:

Not really a method just started at 10 and then realised deal d was better so go up by one so 11 and c worked out better as I timed 30 by 11 and 15 by 1 + the flat fee.

Kira is a runner. Her time to finish a race varies with the number of training miles she runs before that race. Which is the dependent variable?

Answers

her time to finish a race varies on how many miles she runs before hand. Making it the dependent.

Answer:

her time to finish a race varies on how many miles she runs before hand. Making it the dependent.

Step-by-step explanation:

Ms. Jackson’s class is going to the zoo. The zoo charges $10 for an adult and $6 for each student. If the total was $118, how many students went to the zoo?

Answers

18 students
ms Jackson is the only adult so 118-10=108
108 divided by $6 is 18, so 18 students

Answer:

so that means 10 parents went and 3 children went

Step-by-step explanation: first you count by 10,s to get to 100 like this 10, 20, 30, 40, 50, 60, 70, 80, 90, 100 and then 10 parents went and then you would count by 6 to get to 18 like this 6, 12, 18.

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