Does anyone know how to solve 3 by 3 linear systems?

In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.

x-y-2z=4 (1)

-x+3y-z=8 (2)

-2x-y-4z=-1 (3)

Answers

Answer 1

Answer:

x = 3, y = 3, z = - 2

Step-by-step explanation:

Given the 3 equations

x - y - 2z = 4 → (1)

- x + 3y - z = 8 → (2)

- 2x - y - 4z = - 1 → (3)

Add (1) and (2) term by term to eliminate x

2y - 3z = 12 → (4)

Multiply (1) by 2 and add to (3) to eliminate x

2x - 2y - 4z = 8 → (5)

Add (3) and (5) term by term to eliminate x

- 3y - 8z = 7 → (6)

Multiply (4) by 3 and (6) by 2

6y - 9z = 36 → (7)

- 6y - 16z = 14 → (8)

Add (7) and (8) term by term to eliminate y

- 25z = 50 ( divide both sides by - 25 )

z = - 2

Substitute z = - 2 into (7)

6y + 18 = 36 ( subtract 18 from both sides )

6y = 18 ( divide both sides by 6 )

y = 3

Substitute y = 3 and z = - 2 into (1)

x - 3 + 4 = 4

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Solution is x = 3, y = 3, z = - 2


Related Questions

pls help? I need to know the answer asap​

Answers

What’s the question? So you could put point s

45 + r = 113 +38

Solve equation for 10 points

Answers

Answer:

r = 106

Step-by-step explanation:

113 + 38 = 151

151 - 45 = 106

r = 106

Question 2
Select all the ratios that are equivalent to 10:6.
A
5:3
B
20:6
С
6:10
D
12:8
Which are equivalent to 10:6

Answers

Answer:

letter a

Step-by-step explanation:

4 (b - 3 ) = 6 steps in order from first to last

Answers

Answer:

B= 9/2 Hope this helped <3

Step-by-step explanation:

Let's solve your equation step-by-step.

4(b−3)=6

Step 1: Simplify both sides of the equation.

4(b−3)=6

(4)(b)+(4)(−3)=6(Distribute)

4b+−12=6

4b−12=6

Step 2: Add 12 to both sides.

4b−12+12=6+12

4b=18

Step 3: Divide both sides by 4

Answer:

Happy meals are a scam

Step-by-step explanation:

THEY ARE SCAM

Write the equation in standard form. 0.5x = y - 4

Answers

Answer:

y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)

Step-by-step explanation:

y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.

m = linear coefficient/slope(denoted by a in a 1 degree binomial)

b = constant coefficient / y-intercept (denoted by b in a 1 degree binomial)

to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.

0.5x = y - 4

0.5x (+4) = y - 4 (+4)

0.5x + 4 = y

y = 0.5x + 4

Answer:

y=0.5x+4

Step-by-step explanation:

0.5x= y-4

add 4 on both sides

and then you get:

y=0.5x+4

Jude graphed the inequality s


Is his graph correct? Explain why or why not.

Answers

Answer:

Sample Response: No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.

Step-by-step explanation:

sample response on edge 2020

Answer:

The < symbol means that -9 is not included in the solution. The graph should have an open circle, not a closed circle. The arrow is pointing in the correct direction.

Step-by-step explanation:

edge 2021

substitute the length of the sides (8 in, 15 in m)
into the Pythagorean theorem. Then, find the length of the missing side m
(Please with step by step answer)

Answers

Answer:

17i in

Step-by-step explanation:

a² + b² = c²

8² + 15² = c²

64 + 225 = 289

c² = 289

c = [tex]\sqrt{289} \\[/tex]

c = 17

a+2xy=14 solve for y

Answers

Answer:

y= (14-Ax)/(2x)

Step-by-step explanation:

it is 14 I got u don't worry

Carl worked 5 hours anand made a total of $42.50. The equation 42.50/5 = 153/x can be used to determine the number of hours, x, it will take him to earn $153. How many hours will Carl need to work to earn $153?
A. 15 hours
B. 17 hours
C. 18 hours
D. 21 hours

Answers

Answer: c

Step-by-step explanation: divide 42.50 by 5 and then divide your answer (8.3) to 153

Answer:

C. 18 Hours

Step-by-step explanation:

Macon Steinberg purchased a motor scooter with an installment loan that has an APR of 16 percent. The motor scooter sells for $1,687. The store financing requires a 20 percent down payment and 30 monthly payments.

What is the down payment?
What is the amount of the loan?
What is the monthly payment?
What is the total amount repaid?
What is the finance charge?​

Answers

The finance charge is $285

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given;

An installment loan that has an APR of 16 percent

The motor scooter sells for $1,687

The store financing requires a 20 percent down payment

Monthly payments are for 30months

Now,

Downpayment= cost of scooter*20%

=1687*20%

=$337.4

Amount of finance = Cost of scooter - Down payment

=1687-337.4=1349.6

Interest rate=16%*1/12=1.3% per month

Monthly payment = Amount of finance*I/[1-(1+I)^-n]

=1349.6*1.3%/[1-(1+1.3%)^-30]

=1349.6*0.013(1-0.6780)

=17.5448/0.322

=54.486

Total amount paying for loan over a period = Monthly payment * Term

=54.486*30=1634.6

Amount of finance charge = Total amount paying for loan - Amount of loan

Amount of finance charge =1634.6-1349.6

=285

Therefore, the finance charge by given percent will be $285

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Your promotional budget for the year is $300 for personal selling, $300 for sales promotion, \$1,500 for advertising, and $500 for image promotion. What is your total promotional budget for this year?

a) $2,000

b) $2,600

c) $3,600

d) $4,600

Answers

Answer:

to get the total promotion budget for the year we will add $300 for personal selling plus $300 for sales promotion plus $1500 for advertising plus $500 for image promotion to the a total of 2600 dollars

The total promotional budget for this year should be considered as the $2,600.

Calculation of the total promotional budget:

Since there is $300 for personal selling, $300 for sales promotion, \$1,500 for advertising, and $500 for image promotion.

So,

= $300 + $300 + $1,500 + $500

= $2,600

hence, the correct option is b.

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Can someone help me on this problem please (picture above)

Answers

Answer:

the value of a is 2.

Step-by-step explanation:

3a - 2 + 5a + 3 + 6a + 1 = 30

14a + 2 = 30

14a = 28

a = 2

Item 3
Find (12y−1)+(−10y+7).

Answers

Answer:

2y+6

Step-by-step explanation:

what is 1 +1 i hav a home work to doo ples helps mee

Answers

Answer:

2

Step-by-step explanation:

add

The volume of dry goods, like apples or peaches, can be measured usings bushels, pecks, and quarts. A bushel contains 4 pecks, and a peck contains 8 quarts.



What is the relationship between number of bushels, `b`, and the number of quarts, `q`? If you get stuck, try creating a table.

Answers

Answer: For every 1 bushel, there will be 2 quarts

Step-by-step explanation:

If 4:8, then you would have to divide. To find how much bushels there are in a quart, you would need to divide each number by 4. 4/4 = 1. 8/4 = 2. So, the relationship between b:q would be 1:2

6. If RT = 4x, find the value of x and RS. x= RS = S RT = *​

Answers

Answer: 4

4x = 4

S RT = 4

Answer = 4

i am not so sure.

is the angle corresponding, alternate interior, alternate exterior or consecutive interior

Answers

I want to take a guess and say it’s interior I’m so sorry if it’s wrong

at is the equation in slope-intercept form for a line that goes through the points (- 2, 16) and (2, - 8)

Answers

Answer:

y=-6x+4

Step-by-step explanation:

8(10-k)-2k=0 just need help solving

Answers

Answer:

k=8

Step-by-step explanation:

8(10-k)-2k=0

80-8k-2k=0

80-10k=0

-10k=-80

-80/-10

k=8

Answer:

The answer to this problem is k=8

Which polynomial functions are written in standard form? Select all that apply.

f(x) = 8 – x5

f(x) = –3x5 + 5x – 2

f(x) = 2x5 + 2x + x3

f(x) = x3 – 8x2

Answers

The correct options are (b) f(x)=-3x⁵+5x-2

                                        (d) f(x)=x³-8x²

How the polynomial functions are written in standard form?

The function are written in standard form by writing the highest degree term at first and then writting other term according to decreasing order of degree of the variable.

for example f(x)=x⁴+x³+x²+x+1

So according to the question

the function should be written in standard form

so by checking every option,

(a) f(x)=8-x⁵ here highest power is 5 but that term is present at second term. so option A is incorrect.

(b) f(x)=-3x⁵+5x-2 here highest power is 5 and that term is present at first term. then all the terms are arranged in decrreasing order of power.

(c) f(x)=2x⁵+2x+x³ here highest power is 5 and that term is present at first term. then the second highest powered term is 3 and that term is present at third position which should be present at second position.

(d) f(x)=x³-8x² here here highest power is 3 and that term is present at first term. then all the terms are arranged in decrreasing order of power.

Therefore, The correct options are

(b) f(x)=-3x⁵+5x-2

(d) f(x)=x³-8x²

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Answer: The first answers are B. and D.

The second answer is 5

Step-by-step explanation: The third answer is -3

Solve and show your work or explain.
[tex]x-\sqrt{2x-5}=5[/tex]

Answers

Answer:

[tex]x= 6+ \sqrt {6}[/tex]

Step-by-step explanation:

[tex]-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}[/tex]

aluminum, inc. produces cams at a rate of 0.04 per hundredth of a second. how many cans can be produced in a 7-hour day?

Answers

Answer:

Step-by-step explanation:

100800

1008 can s can be produced in a 7 hour day.

What is per thousands of a second ?

Just divide 1 second by 1000 which is 0.001 secs.It can also be called as 1 millisecond.

According to the given question aluminium, inc. produces cams at a rate of  0.04 per hundredth of a second. this can be numerically expressed as

0.04 cans produced in 0.01 seconds.

We know 7 hour is = (7×3600) seconds which is = 25200 seconds.

∴ In 7 hours aluminum, inc. can produce (25200 × 0.04) which is

= 1008 cans.

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Your savings account has a balance of $125. You add $22 a month to this balance.
Which equation shows your balance, b, in m months?
bl m) = $125 m + $22
ml b) = $125 b + $22
ml b) = $125 + $22 b
bl m) = $125 + $22 m

Answers

Answer:

D

Step-by-step explanation:

Answer:

i think D but i might be wrong

Step-by-step explanation:

is 2.125 a rational number

Answers

Answer: Yas

Step-by-step explanation:

I really need help with this question GIVE BRAINLEST PLEASE

Answers

Answer:

-30x 6 = -9 -3x=

x = 3/13

14 subtracted from the difference of x and 3*
O 14-(x-3)
O 14+ (x - 3)
(x + 3) - 14
O (x - 3) - 14

What’s the answer??

Answers

I think it’s the last one. If not, then the first

Answer:

of

(4×3) =13(6×3) =20 (2×3) = 6 (3×3) =9

Step-by-step explanation:

maaf ya kalo jawaban nya salah

whats 9+10

word to my mutha

Answers

21 my guy that’s beer

Answer:

21 is the correct answer

can someone help me?

Answers

I hope the answer is 22.5=x

Where does the line y = 3x + 5 cross the y-axis?
A: at x=3
B: at x=5
C: at y =5
D: at y=3

Answers

Answer:

The answer is- At y = 5

Step-by-step explanation:

I got is correct on meh math test

The line y = 3x + 5 crosses the y-axis at y = 5. The correct answer would be an option (C).

What is y-Intercept?

The y-intercept is defined as an intercept that is located at the y-axis of the plane, which is the location or coordinates from where the line crosses.

The equation is given in the question

y = 3x + 5

We have to determine the y-intercepts for the given line

To determine the y-intercept, substitute the value of x = 0 in the given equation

y = 3(0) + 5

y = 0 + 5

Apply the subtraction operation, and we get

y = 5

Thus, the line y = 3x + 5 cross the y-axis at y = 5.

Hence, the correct answer would be option (C).

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Cho had $2.85 in nickels and $3.40 in dimes. Then she gave an equal number of her nickels and dimes to her brother. Now Cho has the same amount of money in nickels as in dimes.

The equation 285−5x=340−10x represents the situation.

Which does the variable x represent?

Will Give Brainliest

Answers

285-5x=340-10x

285-5x-(340-10x)=0

-5x-(-10x+340)+285=0

-5x+10x-340+285=0

5x-55=0

5x=55

x=55/5

x=11

Answer:

x = 11

Step-by-step explanation:

The equation represents as:

285 − 5x = 340 − 10x

combine similar terms:

285 - 340 = 5x - 10x

simplify:

-55 = -5x

divide -5 on both sides:

x = 11

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