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
Sphinxa [80]
3 years ago
7

Solve the following systems of 3-variable linear equations.​50 points

Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

You might be interested in
What is the height of the tree
Margarita [4]

Answer:

16.5 m

Step-by-step explanation:

Hi there!

Set up a proportion (letting h = the height of the tree):

\displaystyle \frac{6 ft}{8 ft} = \frac{h}{22}

Multiply both sides by 22 to isolate <em>h</em>:

6/8 * 22 = h

h = 16.5

Therefore, the height of the tree is 16.5 m.

I hope this helps!

6 0
3 years ago
7.489 divided by 0.09
galben [10]
49.87777777777778

easy divsion
6 0
3 years ago
Use limits to find the area of the shaded region in the graph y = x2.
igor_vitrenko [27]

Answer:

B. 9 Units squared

Step-by-step explanation:

Edge 2021

3 0
3 years ago
Anwser to all the questions please
vodka [1.7K]
Thats so much oop O-O
7 0
3 years ago
Graph: f(x) = -3sin (x/2 - π/4)
charle [14.2K]
This sine function has the form y = f(x) = a sin (bx + c), where |a| is the amplitude, b is the frequency, and c determines the phase shift.

The period of this sine curve is 2 pi/b, or (in this problem) 2 pi/(1/2).

The phase shift of this curve is -c/b, or -(pi/4)/(1/2).  Simplify this.

The amplitude is |-3|, or just 3.

Draw a set of coordinate axes.  Draw light horizontal lines through y=3 and y=-3.  These are the max and min. values of this sine function.

Plot the phase shift on your x-axis.

Your sine function will begin at (phase shift value, 0) and continue for one period.  Add the period to the phase shift value.  Draw a sine curve beginning and ending at these two x-values.

I encourage you to share your calculations and to sketch the graph described here.  Then I could give you more specific feedback on your work.  Good luck!


3 0
3 years ago
Other questions:
  • Please help AND explain!
    5·1 answer
  • Simplify the radical expression.<br><br> 1. √45<br><br> 2. √180x^2<br><br> 3.√490y^5 w^6
    10·2 answers
  • A pizza is cut into 12 pieces.Toma eats 1/4 of the pizza.What percentage of the pizza did Toma eat?
    14·1 answer
  • A frog weighs 3/5 lb. What is the mass of the frog in kilograms 1 ib equals 0.45 kg?
    6·1 answer
  • The population of a major U.S. city is 2,707,120. The land area of the city is 606.1 km². What is the best approximate populatio
    9·2 answers
  • There are 3 boys for every 4 girls in a classroom. If there are 9 boys, how many girls are in the classroom?
    6·2 answers
  • I don't understand this help me : )
    6·1 answer
  • PLEASE HELP!!! ILL GIVE BRAINLIEST!!! The graphs below have the same shape. What is the equation of the blue
    14·1 answer
  • MATH PROPORTIONAL QUESTION PLEASE HELP ITS FOR A TEST :(
    13·2 answers
  • Please help me asap!! Im in a rush
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!