solve the system x+2y-5z=10, y+2z=2, z=-1

Answers

Answer 1

Answer:

x=-3,y =4 z=-1

Step-by-step explanation:

x+2y-5z=10

y+2z=2

z=-1

Since z = -1, substitute into the second equation

y + 2(-1)=2

y -2 =2

y = 2+2

y=4

We can substitute into the first equation

x+2(4) -5(-1) =10

x+8+5=10

x+13 = 10

x = 10-13

x=-3


Related Questions

You rotate triangle DEF with coordinates D(-2, 2), E (1,5), and F(4, -1) 90° counterclockwise about the origin.​

Answers

Answer:

70

Step-by-step explanation:

Rotating triangle DEF counterclockwise by 90° about the origin using the rule (x,y) becomes (-y,x) results in new vertices D'(-2, -2), E'(-5, 1), and F'(1, 4).

When rotating triangle DEF counter-clockwise by 90° about the origin using the rule D(x,y) becomes D'(-y,x), the new coordinates are as follows:

⇒ Vertex D(-2, 2) becomes D'(-2, -2),

Vertex E(1, 5) becomes E'(-5, 1),

⇒ Vertex F(4, -1) becomes F'(1, 4),

This rule swaps the "x" and "y" coordinates while negating one of them, effectively rotating the points 90° counterclockwise around the origin.

Therefore, the new vertices are D'(-2, -2), E'(-5, 1), and F'(1, 4).

Learn more about Rotation here

https://brainly.com/question/28832360

#SPJ3

Pls help me with this question

Answers

Answer:

-1;undefined;1;0

Step-by-step explanation:

The first one (-9/9), can also be written as - 9/9 = - 1.

The second one (9/0), is undefined because every single term even 0 itself, if you divide it by 0, it'll be undefined!

The third one, we see we have division, and whenever we have division or multiplication and also 2 negative signs, they cancel each other, as you're left with 9/9=1.

The fourth one, whenever you have 0 at the numerator, no matter the denominator(only matters when it's =0, but that's undefined), the result will always be 0 !

please help with solving

Answers

N.O = 4
N is midpoint of M.0
Meaning M.N also has to be 4
4+4= 8
N.P = 6
0.P = 2
8+ 2 = 10

If the formula is D=M/V and we know D=2.70 and V=60 how to we solve for M?

Answers

Answer:

d=140

v=60

140.60=8400 its m

If there are 6 $5 bills how many 10$bills are there?

Answers

Answer:

3

Step-by-step explanation:

6*5=30

30/10=3

Answer:

3

Step-by-step explanation:

6 * 5 = 30

Then, 30 / 10 = 3

Mr. Nasser asks four of his students to measure four different objects. Here are the results.

Which student had the greatest percent error?

Answers

Step-by-step explanation:

Answer:

Emiko has the greatest percent error

Step-by-step explanation:

Solve x/2- 8 = y for x. A. x= 1/2y

Answers

Answer:

x = 2y + 16

Step-by-step explanation:

Given equation:

x/2 - 8 = y

Solve for x:

x/2 = y + 8     ⇒ add 8 to both sidesx = 2y + 16     ⇒ multiple both sides by 2
>> Answer :

____________

[tex] \: [/tex]

[tex] \frac{x}{2 - 8} = y[/tex]

[tex] \frac{x}{2} = y + 8[/tex]

[tex]x = \bold{2y + 16}[/tex]

Graph the line whose x-intercept is -5 and whose y-intercept is -9.

Answers

Here is how you're line should look!

A right triangle is shown below.
45°
3 units
What is the tan of x?

Answers

Answer:

Tan x = 1

Step-by-step explanation:

As a tangent of 90° is impossible, x must be the measure of both of the 45° angles.

If we assume 3 is the length of one of the shorter legs, it is also the length of the other of the shorter leg

Tangent x = Opposite/Adjacent = 3/3 = 1

Which values of a, b, and c represent the answer in simplest form?

7/9 * 4/9 = a b/c

Answers

Answer:

Option 2: A=1, B=3, C=4

Step-by-step explanation:

7/9÷4/9  = 7/9*9/4cancel 9 on each side=7/4= 1 3/4

Pleaw hurry i nedd the answer

Answers

Number 4 is correct you can check it

math
what at is -4/5 divided by 5/6

Answers

Answer:

-24/25

Step-by-step explanation:

-4/5 ÷ 5/6

To divide fractions, use KFC:

Keep the first fraction the sameFlip the second fractionChange the sign from ÷ to ×

-4/5 ÷ 5/6 would become -4/5 × 6/5 which is -24/25

Hope this helps!

Answer:

-24/25

Step-by-step explanation:

First you keep the first fraction and then you change the division sign to multiplication, then change the second fraction

4/5 time 6/5 and you can’t simplify so -24/25 is your answer.

In year, 2004, I put $20.00 into an account to save. This account annual interest fee is 0.002%. However, every 10th year the interest rate get doubled and is now 0.004%. After, the 10th year it goes back to the original interest rate of 0.002% annually. If I check the amount I know have in total included my principal of $20.00, in the year of 2021. What would the total amount be of putting it there

Answers

9514 1404 393

Answer:

  $20.01

Step-by-step explanation:

In 2004–2012, the interest rate is 0.002%. In 2013, it is 0.004%. In 2014–2021, the interest rate is 0.002%. That is, in the 18 years between 2004 and 2021 (inclusive), the interest rate is 0.002% for 17 of them. The effective account multiplier is ...

  (1.00002^17)(1.00004^1) = 1.00038006801

Then the account balance is ...

  $20 × 1.00038006801 ≈ $20.01

_____

Additional comment

The annual interest earned on $20.00 is $0.0004. If the account balance is rounded to the nearest cent annually, at the end of the 18 years, the balance will still be $20.00. Not enough interest is earned in one year to increase the balance above $20. At the end of the 18 years, the amount of interest earned is 0.76¢ (a fraction of a penny) only if there is no rounding in intervening years.

does anyone know this???

Answers

Answer: y=5x-7

I hope this helps I would appreciate brainliest if possible :)

i tried to answer earlier but someone else was typing, but the answer is y = 5x - 7.

The sum of three numbers is 99. The third number is 3 times the first . The second number is 9 more than the first. What are the numbers?

Answers

Answer: This can be written as x + (x-9) + 3(x-9) = 99

5x - 36 = 99

5x = 135

x = 135/5 = 27

You can now just plug in the value of x for each of the initial terms to get:

n1 = 27

n2 = 18

n3 = 54

Step-by-step explanation:

What’s the greatest common factor of (280, 168)

Answers

Answer:

Greatest common factor of 280 and 168 is 56

-NULL

Brainliest will be appreciated thank you!

Solve the inequality x2−3x−18≥0

Answers

I finally was able to answer

Step-by-step explanation:

2x-3x-18≥0

2x-3x≥18

factorise

x(2-3)≥18

x≥[tex]\frac{18}{(2-3)}[/tex]

I hope this helped but i've done this in the way my tutor taught me :)

PLEASE HELP MEEEE THIS IS DUE IN TEN MINUTES ALSO HOW THE HECK DO YOU CHANGE THE THING THAT SAYS COLLEGE BY UR NAME? IM IN FLIPPING EIGTH GRADE NOT COLLEGE!!!

Answers

this ain’t hard dw I’ll give you the answers :)

Here ya go :)

Answer:

1. 4.05 x 10^-4

2. 49,345,000

3. 2.357897 × 10^9

HELPPPPPPPPPPPPPPPppppppppppppp

Answers

The blue area on the graph are all the possible solutions. The chili beans need to be less than 3 and the corn husks need to be less than 7

Answers are: A, B, C and E

Zaby does 15 Joules of work to push the pencil over 1 meter. How much force did he use?

Answers

When converted to a household measurement, 9 kilograms is approximately equal to a

If k = -5 find the value of -7k? Please explain step by step or show work on piece of paper to get marked.

Answers

Answer:

35

Step-by-step explanation:

Given k=-5

Substitute into the equation given

-7(-5) = 35

Find cos 30 in terms of cos 0

Answers

Answer:

cos(30) = (sqrt(3)/2) * cos(0)    

Step-by-step explanation:

cos(0) = 1

cos(30) = sqrt(3)/2

Thus, we can write that:

cos(30) = (sqrt(3)/2) * cos(0)

A motorboat takes 4 hours to travel 192 kilometers going upstream.

The return trip takes 3 hours going downstream.

- What is the rate of the boat in still water?
- What is the rate of the current?

Answers

Answer:

Step-by-step explanation:

let b be boat velocity

let c be current velocity

(b - c)4 = 192

(b + c)3 = 192

(b - c)4 = (b + c)3

4b - 4c = 3b + 3c

        b = 7c

(7c - c)4 = 192

    (6c)4 = 192

      24c = 192

          c = 8 km/hr

b = 7(8) = 56 km/hr

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?​

Answers

Answer:

9000

Step-by-step explanation:

The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

8x + 2y = -2
2y = -8x - 2
y = -4x - 1

-4 is the slope, and -1 is the y-intercept is -1.

:) Answer fast if you can

Answers

Answer is B according to distributive property.

Answer:

The answer is B

Step-by-step explanation:

Hope it helps

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Where's The Answer Im Sorry I Didn't See Anything....m

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.90 and hour. The math club wants to spend less than $123.10 on renting the meeting room. What are the possible amounts of time that they could rent the meeting room? use t for the number of hours the meeting room is rented

Answers

Answer:

9 hours

Step-by-step explanation:

Firstly,

Minus $123.10 with $34

123.10-34

= 89.10

(bcuz $34 is the reservation fee)

Secondly,

Divide $89.10 with $9.90 to determine the hours

t = 89.10/9.90

= 9

Last answer = 9 hours

need an answer, please need an answer, please.​

Answers

Answer:

Step-by-step explanation:

1) c

x² = 1

x² - 1 = 0

Degree of quadratic equation should be 2.

2) 'a'- coefficient of x² cannot be 0

option a

3) option c

Standard form: ax² + bx +c = 0

4) c = 5

3x² + 8x = -5

3x² + 8x + 5 = 0

option c

5) b= 0

option a

solve pls brainliest

Answers

Step-by-step explanation:

a))) -31-71=-102

b)-9+14=+5

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

A. - 31 - 71 = - 102

B. - 9 + 14 = 5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

A. The minuend, subtrahend, and difference are parts of a subtraction problem. In the subtraction problem, - 31 - 71 = - 102, the number - 31 is the minuend, the number 71 is the subtrahend and the number - 102 is the difference.

B. When you are adding a negative number to a positive number you are effectively subtracting the second number from the first. ... And then you add the negative number, which means you are moving to the left – in the negative direction.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Other Questions
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6) Serena bought 8 shirts for $5 each and spent $10 on lunch. She paid for the shirts and lunch using her debit card. The change in the balance of Serenas checking account can be represented by the expression shown.8(-5) + (-7)What integer represents the change in dollars the customer should receive? Write as a decimal: two and three-tenths = Use intercepts to graph the linear equation 5x+3y=30 Where does the energy come from to power passive and active transport? Is chose a b c d help me Compute $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100}$. Express your answer in the simplest way possible.(Suggestion: First, try computing $\frac{3}{4}\cdot \frac{8}{9},$ then $\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16},$ and so on. Look for patterns.) How does a writer choose which sentences to combine? Katniss sings the meadow song to Rue before she dies. Read the words to the song on pages 234-235. K Research & Write: What do you think daisies might represent in the song? What do you think the meadow, in general, represents or , symbolizes? John McRighteous has a mass of 90kg. Calculate johns weight. Helpppppppppppppppppppppppp plzzzzzzzzzzzzz thx write a story about switching lives with someone(like freaky Friday)I will give you brianlyest Tanya tiene el pelo __________.A. largo, lacio y canosoB. muy corto, ondulado y castaoC. muy largo, ondulado y rojoD. largo, rizado y negroE. corto, liso y rubio What is the volume of water needed to prepare 5000 ml of 0.1 M HCL from a stock solution of4 Me) 125 mlb) 375 mlc) 500 mld) none of them in the interview sabin says, "we didnt want to tell anyone our idea and have them say, well, i dont know... we believed in it, we believed in each other, so we went for it." which entrepreneurial attribute is this an example of? In choosing between two investments, if one has the higher expected return but the other has the lower standard deviation, we use another measure of risk called _____________. To obtain this measure we divide the _____________ by the ____________. This measure shows the amount of_____________ per unit of return and provides a more useful risk measure when the expected returns on two alternatives are different. there are 20 girls in the school choir. 15% of them wear glasses. how many girls in the choir wear glasses? Please help asap is almost due write a Pythagorean triplet with the following numbers as one of the numbera,4 b,8 c,12 d,22 with the formula plsclass 8 what are two decimals equivalent to 0.02