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
spin [16.1K]
3 years ago
7

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. x + y = 6 x

- y = 0
Mathematics
1 answer:
zhuklara [117]3 years ago
5 0
Answer:  [B]:  "contains one point" .
_______________________________
Explanation:
__________________
Given:
__________________
x + y  = 6  ;
x - y = 0 ;
_________________
 
To solve for "x" ;

Consider the first equation:

x + y = 6 ;

subtract "y" from each side of the equation ; to isolate "x" on one side of the equation; and to solve for "x" ;

x + y - y = 6 - y ;

x = 6 - y ;
________________
Take the second equation:
____________________
 x - y = 0 ;

Solve for "x" ;

Add "y" to EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;

x - y + y = 0 + y ;
________________________________
    x = y
______________
x = 6 - y

Substitute "x" for "y" ;

x = 6 - x ;

Add "x" to Each side of the equation:
_______________________________
x + x = 6 - x + x ;

2x = 6 ;

Now, divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; and to solve for "x" ;

2x/2 = 6/2 ;

x = 3 .
_______________
Now, since "x = 3" ;  substitute "3" for "x" in both original equations; to see if we get the same value for "y" ;
_______________________________
x + y  = 6  ;
x - y = 0
________________________________
Start with the first equation:
________________________________
x + y = 6 ;

3 + y = 6 ;

Subtract  "3" from each side of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;

3 + y - 3 = 6 - 3 ;

y = 3 .
________________________
Now, continue with the second equation; {Substitute "3" for "x" to see the value we get for "y"} ;
________________________
The second equation given is:
________________________
x - y = 0 ;

Substitute "3" for "x" to solve for "y" ;

3 - y = 0 ;

Subtract "3" from EACH side of the equation:

3 - y - 3 = 0 - 3 ;

      -1y = -3  ;

Divide EACH side of the equation by "-1" ;  to isolate "y" on one side of the equation; and to solve for "y" ;

-1y/-1 = -3/-1 ;

    y = 3 .
________________________
So, for both equations, we have one value:  x = 3, y = 3;  or:  write as: 
"(3, 3)" ;  { which is:  "one single point" ;  which is:  Answer choice:  [B] } .
__________________________________________________________ 
You might be interested in
What is the value of y if 5/25 = y/5?
galina1969 [7]

Answer:

y=0.04

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLZZ NEED HELP ASAPPP :((
kherson [118]

Answer: I would say it hundredth place

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the value of y in the sequence below<br> 2, У, 18,-54, 162
Maslowich

Answer:

<em>y=-6</em>

Step-by-step explanation:

<em>Geometric Sequences</em>

Any given sequence is said to be geometric if each term a_n can be obtained as the previous term a_{n-1} by a constant value called the common ratio.

a_n=a_{n-1}.r

or equivalently

a_n=a_1.r^{n-1}

Looking closely at the sequence 2, y, 18,-54, 162 we can try to find out if it's a geometric sequence or not. We compute the possible common ratios

\displaystyle \frac{162}{-54},\ \frac{-54}{18} and we see they both result -3. If we use r=-3 and try to find the second term (y), then

y=2*(-3)=-6

Now we compute the third term: (-6)(-3)=18

Since we got the third term as given in the original sequence.

So y=-6

3 0
2 years ago
Divide:<br><br><br> 27÷77,868<br> Help
Contact [7]

Answer:

this is the answer unless you did it backwards

Step-by-step explanation:

3.467406380027739e-4

8 0
3 years ago
Is 6/6 more than 3/3
hodyreva [135]
They are both equivalent to 1, so they are equal. 

4 0
3 years ago
Other questions:
  • A kite with a string 50 meters long makes an angle of elevation of 58o with the ground, assuming the string is straight, how hig
    7·1 answer
  • Given the two expressions shown below:
    14·1 answer
  • In an isosceles triangle, the perimeter is 75 cm and one of the sides is 25 cm. Find all its sides. Can you find all angles of t
    12·2 answers
  • BRAINLIEST TO WHOEVER GETS IT ASAP PLEASEEE
    8·1 answer
  • -99,-66,-33... is an arithmetic sequence. What will the 11th term be?
    5·1 answer
  • Please help me I need to turn this in right now
    10·1 answer
  • Which statement about g(x) = x^2 - 576 is true?
    5·1 answer
  • Answer this please !!
    15·1 answer
  • On a certain function machine, an input of 3 has an output of -6. An input of -2 has an output of 4. An input of 0 has an output
    12·2 answers
  • Which ordered pair is a solution of the equation? y=-2x-5y
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!