1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BARSIC [14]
3 years ago
9

If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num

ber plus 2 times the first number is 3. The first number plus 3 times the second number plus the third number is 18. Find the three numbers.
Mathematics
1 answer:
weeeeeb [17]3 years ago
7 0

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right

\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right

\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

You might be interested in
72000 divided by what = 200
Pavlova-9 [17]
360 is the answer
72000/x=200
72000/200=x
x=360
6 0
3 years ago
Which choice is a correct equation for the graph shown below?
Doss [256]

Answer:

C

Step-by-step explanation:

y = mx +b  The b is where the graph crosses the y axis.  If you look a the graph it is crossing at 5.  The m is the slope.  It is the change in y over the change in x.  If you start at 5 and go up10 and over 1, you will be on the line.  So our slope is 10/1 which is just 10

5 0
2 years ago
Read 2 more answers
Which of the followibg expressions is equivalent to the expression a^2/3​
Naily [24]

Answer:

C. I can’t really enter square roots

Step-by-step explanation:

a^2/3 = a^2*a^1/3

Which is the cube root of a squared

4 0
3 years ago
Factor of x^3-x^2-24x-36
Basile [38]
The trial and error method is used to find an initial factor:
If we let f(x) = x³ - x² - 24x - 36 and all we have to do is sub' in values of x until
f(x) = 0, we can use this to find an initial factor by the factor theorem:
f(1) = (1)³ - (1)² - 24(1) - 36 = -60
f(2) = (2)³ - (2)² - 24(2) - 36 = -80
f(5) = (5)³ - (5)² - 24(5) - 36 = -56
*** f(6) = (6)³ - (6)² - 24(6) - 36 = 0 ***

f(6) = 0 so (x - 6) is a factor of f(x).
This means that: f(x) = x³ - x² - 24x - 36 = (x - 6)(ax² + bx + c).
To find a,b and c, use long division (or inspection) to divide x³ - x² - 24x - 36 by x - 6.
The other 2 factors of f(x) can then be found by factorizing the
ax² + bx + c quadratic the way you would with any other quadratic (i.e. by quadratic formula, CTS or inspection).
5 0
3 years ago
monica tiene 6/10kg de dulces con los cuales llena 1/4 de una bolsa de celofn ¿cual es la capacidad de la bolsa?
Anit [1.1K]
The question in English
<span>Monica has 6 /10 kg of candy with which she fills 1/4 of a cellophane bag. What is the capacity of the bag?
</span>
we know that
6/10---------> 0.60
1/4----------> 0.25------> 25%

if 25% of a cellophane bag---------------> has a 0.60 kg of candy
100%-----------------------------------------> X
X=100*0.60/25--------> X=2.4 kg

the answer is
2.4 kg


the answer in Spanish

Sabemos que
6/10---------> 0.60
1/4----------> 0.25------> 25%

if 25% de la bolsa de celofan---------------> se llena con 0.60 kg de dulces
100% de la bolsa----------------------------------------->se llenara con  X kg 
X=100*0.60/25--------> X=2.4 kg

La respuesta es
2.4 kg
5 0
3 years ago
Other questions:
  • A factory produces 6 motorcycles in 9 hrs find how many hours it takes to produce 16 motorcycles at this rate ?
    12·2 answers
  • |-(-9)|=<br><br> Can someone explain to me how do I do this?
    8·2 answers
  • PLEASE HELPPPPPPPPPP!!!!!!!!!
    13·1 answer
  • HELP ASAP!!!!!!!!!!!!!!!!!
    11·2 answers
  • Multiple choice please answer please
    14·1 answer
  • What's the area of the trapezoid
    15·2 answers
  • Help!!!!!!!!
    7·2 answers
  • Mia sells cars and earns 2.7% commission in every sale. In one day she sells one car for $16.500 and another for $22.900. How mu
    12·1 answer
  • PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so muc
    11·1 answer
  • Calculate the volume of the figure below.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!