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
Ilya [14]
3 years ago
12

What is the solution of the system of equations?

Mathematics
1 answer:
Charra [1.4K]3 years ago
4 0
When we are given a system of 3 linear equations, with 3 variables, we proceed as follows:

We consider 2 pairs or equations, for example (1, 2) and (2, 3), and eliminate one of the variables in each pair, creating a system of 2 linear equations with 2 unknowns. 

Note that the third equation contains -2y which can be used to eliminate easily -6y in the second equation, and -4y in the fourth.

i) consider equations 1 and 3:

-3x-4y-3z=-7
5x-2y+5z=9

multiply the second equation by -2:

-3x-4y-3z=-7
-10x+4y-10z=-18

adding the 2 equations we have -13x-13z=-25

ii) consider equations 2 and 3. Multiply the third equation by -3:

    2x-6y+2z=3
-15x+6y-15z=-27

adding the 2 equations we have -13x-13z=-24

So we got -13x-13z is -25, but also -24. this means the system is inconsistent, so it has no solution.

Answer: the system has no solutions
You might be interested in
Expand and simplify 9 (x-y)^2-9(x+y)(x-y)
yuradex [85]

To simplify the problem it would be: -18xy+18y^2

5 0
3 years ago
Solve for x: x - 10 = -12<br><br> A. 2<br> B. -2<br> C. 22<br> D. -22
Sindrei [870]
Add 10 to both sides. X is 2. A.
7 0
3 years ago
Read 2 more answers
HELP ME OUT PLEASE!
atroni [7]

Answer:

6.85 × 10⁷

Step-by-step explanation:

The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.

Calculating scientific notation for a positive integer is simple, as it always follows this notation:

a x 10b

Follow the steps below to see how 68,500,000 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 68,500,000

New Number: 6.8500000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:6.8500000Decimal Count:1234567

There are 7 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 6.85 (Please notice any zeroes on the end have been removed)

b = 7

Now the whole thing:

6.85 x 107

Step 4

Check your work:

107 = 10,000,000 x 6.85 = 68,500,000

6 0
3 years ago
HELP ASAP PLEASE!!!
PilotLPTM [1.2K]

Answer:

A

Step-by-step explanation:

The range is the y values of the function from the least to the greatest. To find it find the furthest point up and down. Draw a horizontal line from the point to the y-axis to identify the y value. Here the function extends from -3 to 6. So the range is -3\leq y\leq 6.

6 0
3 years ago
How do you solve the equation 8-5w= -37<br>​
loris [4]

Answer:

w=25/4=6.50

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • 8. Find the function rule.<br><br> x : -2 | -1 | 0 | 1 | 2 |<br> y : 9 | 4 | -1 | -6 | -11
    10·1 answer
  • Consider a production process that produces batteries. A quality engineer has taken 20 samples each containing 100 batteries. Th
    15·1 answer
  • David says he has 2/3 of a pipe length​ left, while Don says he has 11/16 of a length left. Which person has the longest section
    7·1 answer
  • Cathy Woolfrey is buying a new home. Her realtor tells her that the home she is buying has increased in price by 10% since it wa
    6·1 answer
  • Use picture attached:
    5·2 answers
  • The line plot below shows the number of juice boxes Sandy drank on specific days. On which dates did Sandy drink the most and th
    9·2 answers
  • If u help me then i will love you forever
    8·1 answer
  • 6th grade math<br><br> help on numbers 4 5 6 plz help
    10·2 answers
  • The median of the set of data with values 10,12,15,16,18,20 is?​
    13·2 answers
  • P lease help me. I need fast results please!!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!