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
hichkok12 [17]
2 years ago
11

Solving Systems of Three equations (please help i will make you brainliest!!!)

Mathematics
1 answer:
Alisiya [41]2 years ago
5 0

Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

----------------------

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

----------------------------

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

You might be interested in
I will give BRAINLIEST to the correct answer
erica [24]

Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

7 0
3 years ago
Consider the statement "An obtuse angle, B, measures 90° a. Write the statement as a conditional statement.<br> b. If the condit
Oksi-84 [34.3K]

Answer: the answer is c

Step-by-step explanation: I just know that

6 0
4 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
2.9y=11.6 what does y equal?
zhuklara [117]

Answer:

4

Step-by-step explanation:

6 0
4 years ago
Please help with parts (a), (b),and (c).No need much explanation
fomenos

Given the Histogram that summarizes the data obtained by Kemala:

(a) The Class Width is the length of the intervals.

In order to find the Class Width, you need to subtract the lowest value of each bar from the lowest value of the previous bar.

In this case, you get:

\begin{gathered} 5-2=3 \\ 8-5=3 \\ 11-8=3 \end{gathered}

Therefore:

Class\text{ }Width=3

(b) You need to identify the number of beaches that had 10 or fewer pregnant turtles. Therefore, you need to add the corresponding number of beaches that correspond to these bars (A, B and C):

Then, you get:

3+8+4=15

(c) You can identify that the interval of the last bar is from 11 to 13, and the number of beaches that corresponds to that bar is:

6

As you can see below

Hence, the answers are:

(a)

3

(b)

15

(c)

6

5 0
2 years ago
Other questions:
  • Round to the nearest hundredth 2.815
    6·1 answer
  • A real world problem that is represented by the division problem 38 divided by 5 r3 in which it makes sense to round up the quot
    10·1 answer
  • Use a verbal statement to describe the solution graphed below.
    8·1 answer
  • In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angl
    8·1 answer
  • DueuuHej sdoreifurhduhidUuu
    5·1 answer
  • Math HW Mr Thompson May 24
    11·1 answer
  • Plz it’s for my finals!!
    9·1 answer
  • PLS HELP <br> 6t 4 d <br> =<br> d-9
    5·1 answer
  • Which of these are equivalent to the expression below? square root of -49
    12·1 answer
  • Question 18(Multiple Choice Worth 1 points)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!