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
aliina [53]
4 years ago
14

Elimination

Mathematics
1 answer:
SVETLANKA909090 [29]4 years ago
4 0
2x -  4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9   ⇒ <u>1x + 2y + 3z = 9</u>
3x         + 5z = 12       1x - 2y - 2z = 2
                                                                     1x -  2y - 2z = 2
2x -  4y + 1z = 11                                        <u>-2x + 2y - 2z = -3</u>
1x + 2y + 3z = 9   ⇒ 1x + 2y + 3z = 9                    x - 4z = 1
3x         + 5z = 12 ⇒ <u>3x         + 5z = 12</u>          x - 4z + 4z = 1 + 4z
                                 -2x + 2y - 2z = -3                         x = 1 + 4z
                                                     <u />          1 + 4z - 2y - 2z = 2<u />
                                                               1 - 2y + 4z - 2z = 2
                                                                      1 - 2y + 2z = 2
                                                                    <u>- 1                 - 1</u>   
                                                                          -2y + 2z = 1
                                                                   -2y + 2z - 2z = 1 - 2z
                                                                                  <u>-2y</u> = <u>1 - 2z</u>
                                                                                   -2        -2
                                                                                     y = -0.5 + z
                                                         x + 2(-0.5 + z) - 2z = 2
                                                            x - 1 + z - 2z + 2 = 2
                                                                         x - 1 + z = 2
                                                                         <u>  + 1       + 1</u>
                                                                              x + z = 3
                                                                         x - x + z = 3 - x
                                                                                    z = 3 - x
                                                                      
                                            
<u />
You might be interested in
What is the factor of this problem?<br> ~plz help cannot get this wrong !
Aleonysh [2.5K]

Answer:

it should be 3x^2 +2

Step-by-step explanation:

3 0
3 years ago
The vertices of a rectangle are given in the columns of the matrix (picture 1).
Alex17521 [72]

Answer:

(0 , 0) , (18 , 0) , (18 , -18) , (0 , -18) ⇒ the second answer

Step-by-step explanation:

∵ The vertices of the rectangles are:

  (0 , 0) , (0 , 6) , (6 , 6) , (6 , 0)

∵ 3 × \left[\begin{array}{ccc}0&1\\-1&0\end{array}\right] × R

∴ That is mean The rectangle rotate 270° around the origin

  (270° anti-clockwise or 90° clockwise)

  and enlargement by scale factor 3

8 0
3 years ago
Write a compound inequality that each graph could represent for the following questions.
ivanzaharov [21]

Answer:

Part 67) x > -2  and x < 3

Part 68) x\leq -1  or  x\geq 1

Step-by-step explanation:

Part 67) we know that

The solution of the number line is the interval -------> (-2,3)

All real numbers greater than -2 and less than 3

so

The compound inequality could be

x > -2  and x < 3

"And” indicates that, both statements must be true at the same time

Part 68) we know that

The solution of the number line is the interval (-∞,-1] ∪ [1,∞)

All real numbers less than or equal to -1 or all real numbers greater than or equal to 1    

The compound inequality could be

x\leq -1  or  x\geq 1

"Or” indicates that, as long as either statement is true, the entire compound sentence is true

3 0
3 years ago
What is the volume of a sphere having a radius of 6 in.
Blababa [14]

Answer:

V≈904.78in³

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the midpoint of the segment with endpoints of −11 + i and −4 + 4i.
Y_Kistochka [10]
The midpoint is the average of the endpoints.
  ((-11+i) + (-4+4i))/2 = -15/2 +5/2i
4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the area of a rectangle that is 12 cm long and 2 cm wide?
    15·2 answers
  • The temperature dropped 1.8 degrees celcuis each hour for 4 1/2 hours starting from 8 p.m. if the temperature was 4.6 degrees ce
    10·2 answers
  • Order these numbers from least to greatest. -8 1/5, 8.23, -8 2/11, -8.212121212121...! Plz help me
    9·2 answers
  • Multiply and simplify : (4x -3)(-2x+1)​
    15·1 answer
  • Is the value of the 3 in 83.47 is 1/10 the value of the 3 in 95.33 true or false
    11·1 answer
  • The number of visitors to an annual neighborhood carnival increased each year as shown in the table. Predict the number of visit
    6·1 answer
  • Scarlet maintained a constant speed through her 7-hour journey . Her speed can be modeled by 455 = Mx , where x is the time in h
    12·1 answer
  • Hii could anyone help me with these?
    5·2 answers
  • What is the mean of 14,22,15,7,0,12
    11·2 answers
  • The graph below shows the same shape was pushing the blue graph
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!