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
katrin2010 [14]
3 years ago
14

The sum of three numbers is 3. if the second number is subtracted from the sum of the first and third numbers, the result is 9.

if the third number is subtracted from the sum of the first and second numbers, the result is -5. find the three numbers.
Mathematics
1 answer:
Margaret [11]3 years ago
5 0
Let the three numbers be x, y, and z.

If the sum of the three numbers is 3, then x+y+z=3

If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9

If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5

This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5

First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3

Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4

Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2

So the three numbers are 2,-3, and 4.


You might be interested in
Combine the like terms to make a simpler expression: <br> −3k−(−8)+2
Alex777 [14]
The answer to this question is: -3k+10
5 0
2 years ago
Find the domain and range of the given graph?<br>HELPPPP PLSS​
Paul [167]

Answer:

The domain would be -3≤x≤2 and the range would be -5≤y≤4

Step-by-step explanation:

The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.

The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.

8 0
3 years ago
Debby needed one-third of a cup of water for 1 flower if she had nine flowers how many cups wold she need
4vir4ik [10]
To solve this problem, you must multiply the 1/3 cup of water needed for one flower, by 9. 
1          9            9
---  *   -----   =   ----  =  3 cups
3           1           3
5 0
3 years ago
N+(-n) = 3+ 15<br><br> Solve
Len [333]

Answer:

no solutions


Step-by-step explanation:

n+(-n) = 3+ 15

n+-n = 0

0= 18

False

There are no solutions

7 0
3 years ago
NEED HELP FAST!
mihalych1998 [28]
The answer is currently A so yep thats the answer ok
8 0
2 years ago
Read 2 more answers
Other questions:
  • Melissa collected 14 bottles on Saturday and 9 bottles on sunday for recycling. on monday, she took all the bottles to the recyc
    9·2 answers
  • Richard works at an ice cream shop. Regular comes get 2 scoops of ice cream, large cones get 3 scoops. One hotnsaturday Richard
    13·1 answer
  • 8.81 as a mixed number
    8·2 answers
  • Is 8in 15in and 17in a right triangle
    13·1 answer
  • Anybody know the answer?
    9·2 answers
  • Suzi starts her hike at 220 feet below sea level. When she reaches the end of the hike, she is still below sea
    10·1 answer
  • Match the words with their definitions.
    6·1 answer
  • A $125.70 grocery total is discounted 30%. What is the total paid?
    5·1 answer
  • Question from my math test.
    14·1 answer
  • Which is the graph of 2x + 3y &gt; -3?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!