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
belka [17]
3 years ago
8

What is the solution of the system of equations?

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

The answer to your question is:

x = 4

y = -1

z = -3

Step-by-step explanation:

                                  3 x + 2 y + z = 7

                                  5 x + 5 y + 4 z = 3

                                  3 x + 2 y + 3 z = 1

\left[\begin{array}{ccc}3&2&1\\5&5&4\\3&2&3\end{array}\right]

= 45 + 10 + 24 - (30 + 24 + 15)

= 79 - 69

Δ = 10

\left[\begin{array}{ccc}7&2&1\\3&5&4\\1&2&3\end{array}\right]

= 105 + 6 + 8 - (18 + 56 + 5)

= 119 - 79

Δx = 40

\left[\begin{array}{ccc}3&7&1\\5&3&4\\3&1&3\end{array}\right]

= 27 + 5 + 84 - ( 105 + 12 + 9)

= 116 - 126

Δy = -10

\left[\begin{array}{ccc}3&2&7\\5&5&3\\3&2&1\end{array}\right]

= 15 + 70 + 18 - (10 + 18 + 105)

= 103 - 133

= -30

Δz = -30

x = Δx /Δ = 40/10 = 4

y = Δy/Δ = -10/10 = -1

z = Δz/Δ = -30/10 = -3

sveticcg [70]3 years ago
3 0

Answer:

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

Step-by-step explanation:

3 x + 2 y + z = 7             (A)

5 x + 5 y + 4 z = 3          (B)

3 x + 2 y + 3 z = 1          (C)

Subtract:  A - C:

-2z = 6

z = -3.

Substitute for z in equations A and B:

3 x + 2 y - 3 = 7

3 x + 2 y  = 10      (D)

5x + 5y    =  15     (E)

Multiply D by -5 and E by 2:

-15x - 10y = -50

10x + 10y = 30   Adding these 2 equations:

-5x = -20

x = 4.

Finally Substitute x = 4 and z = -3 in equation C:

3(4) + 2y + 3(-3) = 1

2y  =  1 - 12 + 9 = -2

y = -1.

You might be interested in
Multiply the polynomials.
Oxana [17]
I’m pretty sure that the answer is D
3 0
3 years ago
A pencil holder shaped like a triangular prism is shown in the picture. The height of the pencil holder is 12 cm, and the volume
algol13

Answer:

18cm

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Quick answer please ddd
ikadub [295]

Answer:

C

Step-by-step explanation:

It makes the most sense.

4 0
3 years ago
Read 2 more answers
if a binomial event has a probability of success of 0.3, how many successes would you expect out of 2000 trials
marin [14]

multiply 2000 x 0.3 and you get 600

3 0
3 years ago
Help please !!!!!!!!!!!!
Anastasy [175]

Answer:

X=10 and

y = 5 \sqrt{3}

4 0
3 years ago
Other questions:
  • Write and solve an equation to find the value of x and the missing angle measures
    5·1 answer
  • Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i
    12·1 answer
  • If a function is defined by the formula y equals 2x + 1 + that domain is given by the set 3, 5, 7, 9 then which set represents t
    6·1 answer
  • Frieda friendly works for a local car dealership. she noticed that 3/4 of the cars were sedans and that half of them are white.
    8·1 answer
  • A bag contains red and blue marbles, such that the probability of drawing a blue marble is
    14·2 answers
  • Find the area of the composite figure
    9·2 answers
  • Brent's neighborhood is putting down new mulch at the playground and he is in Charge of buying the mulch. One bag covers 3 yd.².
    9·1 answer
  • Now select points B and C, and move them around. What do you notice about as you move B and C? What do you notice about the rati
    7·2 answers
  • Una tribu de indios observa que la manada de búfalos del territorio donde se han instalado se reduce según una función de decrec
    6·1 answer
  • Please help me marking brainless
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!