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
nikdorinn [45]
3 years ago
11

The answer is 5,-2,-3 but i need help with steps that make sense

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

\left\{\begin{array}{ccc}x+3y-z=2\\4x+2y+5z=1\\3x+z=12&\to z=12-3x\end{array}\right\\\\\text{substitute the value of z to the first and second equation}\\\\\left\{\begin{array}{ccc}x+3y-(12-3x)=2\\4x+2y+5(12-3x)=1\end{array}\right\\\\\left\{\begin{array}{ccc}x+3y-12+3x=2&|+12\\4x+2y+60-15x=1&|-60\end{array}\right\\\\\left\{\begin{array}{ccc}4x+3y=14&|\cdot2\\-11x+2y=-59&|\cdot(-3)\end{array}\right

\underline{+\left\{\begin{array}{ccc}8x+6y=28\\33x-6y=177\end{array}\right}\ \ \ \ |\text{add both sides of the equations}\\.\ \ \ \ \ \ \ 41x=205\ \ \ \ |:41\\.\ \ \ \ \ \ \ x=5\\\\\text{substitute the value of x to the first equation}\\\\4(5)+3y=14\\20+3y=14\ \ \ \ |-20\\3y=-6\ \ \ \ \ |:3\\y=-2\\\\\text{substitute the value of x to the equation:}\ z=12-3x\\\\z=12-3(5)=12-15=-3\\\\x=5,\ y=-2,\ z=-3\to(5,\ -2,\ -3)

You might be interested in
Plz help I am timed
kramer

Answer:

C

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which statement best describes the use of a simulation to predict the probability that two randomly chosen people will both have
laila [671]
<span>Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2

This is the </span><span>statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.

There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.

1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability

So, (1/7)</span>² is the probability that both persons will have their birthdays on a Monday.
8 0
3 years ago
Read 2 more answers
What’s the value of x?
iogann1982 [59]

Answer:

X=8

Step-by-step explanation:

Opposite side angles on the transversal are congruent.

SO 6x-2=46

46+2=48

48/6=8

X=8

3 0
3 years ago
X2+2x +2 is equivalent to.
charle [14.2K]
////// The answer is: 4x+2
4 0
3 years ago
Read 2 more answers
Ruth borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was o
DIA [1.3K]

Answer: The second term of the expression which is 0.25x is the variable cost which is the extra amount paid for being late.

The expression 2 + 0.25x represents the amount that Ruth paid for the book.

It should be noted that the fixed cost is represented by 2 while the 0.25 represents the variable cost which is the late fee. Also, the x represented the number of days for being late.

In conclusion, the second term of the expression represents the amount that was charged for being late.

7 0
3 years ago
Other questions:
  • suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to ad
    14·1 answer
  • Help, Please!
    13·1 answer
  • Find (3 × 104) + (7 × 102). A) 3.07 × 102 Eliminate B) 3.07 × 104 C) 3.70 × 102 D) 3.70 × 104
    10·2 answers
  • What is 72% of 50?....
    10·2 answers
  • If Circle a has a diameter of 1 foot. Circle B has a circumference of 1 m. Which circle is bigger
    6·1 answer
  • What division problem does the model show?​
    9·1 answer
  • write a word phrase for the algebraic expression 3x - 7. the difference of three times a number x and seven the difference of se
    12·1 answer
  • If there are 180 students in the girls authentic program, then how many students participated in soccer
    11·1 answer
  • Common Factors for <br> 21 and 63
    14·1 answer
  • Someone help me I will make you brain
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!