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
dolphi86 [110]
2 years ago
13

Solve the system.

Mathematics
1 answer:
Alex777 [14]2 years ago
6 0

Answer:

{x,y,z} = {-18,4,2}

Step-by-step explanation:

Solve equation [2] for the variable  x  

x = -10y + 2z + 18

Plug this in for variable  x  in equation [1]

(-10y+2z+18) + 9y + z = 20

- y + 3z = 2

Plug this in for variable  x  in equation [3]

 3•(-10y+2z+18) + 27y + 2z = 58

   - 3y + 8z = 4

Solve equation [1] for the variable  y  

 y = 3z - 2

Plug this in for variable  y  in equation [3]

  - 3•(3z-2) + 8z = 4

   - z = -2

Solve equation [3] for the variable  z  

 z = 2

By now we know this much :

 x = -10y+2z+18

   y = 3z-2

   z = 2

Use the  z  value to solve for  y  

 y = 3(2)-2 = 4

Use the  y  and  z  values to solve for  x  

 x = -10(4)+2(2)+18 = -18

You might be interested in
Always sometimes never: if two sides of a triangle are the same then so are two angles always
Trava [24]

Answer:

always

Step-by-step explanation:

8 0
3 years ago
HELP ASAP PLS! The ratio of bows to headbands of Monique’s hair accessories is 8:4. Select all true statements.
Ratling [72]
Obviously a b c & d.
3 0
3 years ago
How do I simplify a fraction? For example if the question is 7 1/5 divided by 2 2/15 what would I do to simplify?
Westkost [7]
7 1/5:
Multiply the denominator and the whole number: 7*5 = 35 and then add the numerator: 35+1= 36/5. Then, do this for the following fraction, the improper fraction value of 2 2/15 is 32/15.
Now we need 36/5 & 32/15 to have common denominators so that we can simplify it a little less complicated.

For Instance,

36/5*3= 108/15

Now we divide, (108/15)/(32/15)
108/32= 3.375 = 3 3/8

Answer is 3 3/8.

Hope this was easy to understand!
3 0
3 years ago
9.<br> Find the slope of the line.<br><br><br><br> A. -1/4<br><br> B. 4<br><br> C. 1/4<br><br> D. -4
slamgirl [31]

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

3 0
2 years ago
Read 2 more answers
Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost
lana [24]

The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.

8 0
3 years ago
Other questions:
  • The probability that an event will occur is a fraction 1 0ver 8 which of these best describes the likelihood the event will occu
    7·1 answer
  • Fluorine gas is placed in contact with calcium metal at high temperatures to produce calcium fluoride powder. What is the formul
    6·2 answers
  • X+6+8x-4 what is the answer?
    12·2 answers
  • (8 x 10^-3) x (2 x 10^-4) in standard form
    13·1 answer
  • Help!
    6·1 answer
  • ILL GIVE BRAINLIEST IF CORRECT!! Stacey is standing in a field. She walks 11 meters west, 30 meters north, 4 meters west and fin
    15·2 answers
  • The sum of two numbers is 59 and the difference is 11
    5·2 answers
  • Please help! I’ll give brainliest!
    10·1 answer
  • What is the constant of proportionality in the proportional relationship y= 4/5x ?
    8·2 answers
  • How do u find this?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!