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
AlekseyPX
2 years ago
6

Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

You might be interested in
54 is 75% of ______________
Levart [38]

54=3x/4

18=x/4

18*4=x

72=x


6 0
3 years ago
Has anyone taken Ap language and composition
soldi70 [24.7K]

Answer:no

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Estimate the sum of 487 and 310
Anika [276]
487 and 310 round to 800
8 0
3 years ago
Read 2 more answers
What is the value of p?
maks197457 [2]
Can you show all the answer choices, so I know if I am correct or not?
7 0
3 years ago
Exponents solve this for 50 points and brainlist
Zepler [3.9K]

Answer:

<u></u>\frac{10m^{10}n^{6}p^{9}}{y}

Step-by-step explanation:

Simplifying the numerator :

⇒ (-5m⁷n⁰p⁵)(2m⁴n³p²)³

⇒ (-5m⁷p⁵)(8m¹²n⁹p⁶)

⇒ (-5)(8)(m)⁷⁺¹²n⁹(p)⁵⁺⁶

⇒ <u>-40m¹⁹n⁹p¹¹</u>

<u />

Dividing by the denominator :

⇒ \frac{-40m^{19}n^{9} p^{11}  }{-4m^{9}n^{3}p^{2}y} }

⇒ \frac{10m^{10}n^{6}p^{9}}{y}

7 0
1 year ago
Other questions:
  • Find the volume of the figure.<br> *<br> 9 cm<br> 10 cm<br> 2 cm<br> 10 cm<br> 9 cm
    11·1 answer
  • What is 192 rounded to the nearest 1000
    9·1 answer
  • The test scores for last week's History test were: 76, 100, 94, 90, 68, 90, 80, 92, 84 If test scores of 60 and 68 are added to
    9·2 answers
  • AVENGERS: The Avender movie made $1.6 million in ticket sales. Its sequel made $0.8 million in ticket sales. How much more than
    8·1 answer
  • The difference between 8 less than q?
    9·1 answer
  • We found that Juan’s investment account can be modeled by the function, c(x) = 7x2 - 6x + 5, in thousands of dollars. What was J
    14·2 answers
  • What is the verbal expression for 1/8y
    7·1 answer
  • Use number line f to answer the questions.
    13·2 answers
  • Evaluate <br>2-8÷-2-3-12÷-6×-2<br>​
    11·1 answer
  • Consider the following 8 numbers, where one labelled x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!