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
Talja [164]
3 years ago
14

Solve the system by elimination. -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

The answer to your question is:

x = 1; y = 1, z = 0

Step-by-step explanation:

                                            -2x + 2y + 3z = 0        (I)

                                             -2x - y + z = -3           (II)

                                              2x + 3y + 3z = 5      (III)

I and II. Multiply II by 2

                                      -2x + 2y + 3z = 0

                                  (2)(-2x -   y  +   z = -3 )

                                       -2x + 2y + 3z = 0

                                       -4x -  2y  + 2z = -6

                                      -6x           + 5z = - 6       (IV)

II and III. Multiply II by 3

                                      -6x - 3y +  3z = -9     (II)

                                       2x + 3y + 3z = 5      (III)

                                     -4x         + 6z = -4           (V)

IV and V. Multiply IV by 2 and V by -3

                                   -12x  +  10z = -12

                                     12x  -  18z = 12

                                             - 8 z = 0

                                                   z = 0

Substitute z in IV

                              -6x + 5(0) = -6

                             -6x = -6

                                x = 1

Substitute x and z in I

                              -2(1) + 2y + 3(0) = 0

                              -2 + 2y = 0

                                      2y = 2

                                        y = 1

You might be interested in
Will give brainlist if correct. Solve the system. Nearest tenth accepted.
Semmy [17]

Answer:

The variable y should equal 5 2/5 or 5.4 as a decimal.

Step-by-step explanation:

The variable x equals 1 so we can replace x in the equation y = 2/5x + 5 with 1.

y = 2/5(1) + 5

This is our new equation. Any number multiplied by 1 will equal itself so in this case, 2/5 times 1 equals 2/5 or 0.4 in decimal form. Now we can add 2/5 or 0.4 to 5 and we will get 5 2/5 or 5.4. Now we will only have y =  5 2/5 or 5/4 in the equation and this is where we will stop solving for y. In conclusion, y equals 5 2/5 or 5.4. I hope this helps! If this answer is wrong, please give me some feedback on what I did wrong! Thank you!

8 0
3 years ago
An account is opened with an initial balance of $950 and a simple annual interest rate of 1.6%. What is the balance after 5 year
Sergeeva-Olga [200]
The answer is $1,026.

Solving: Use Simple interest formula, I=Prt.

Make the rate into a decimal (1.6% -> 0.016)

plug in the numbers into the formula. 950 x 0.016 x 5 = 76$.

76$ will be our interest, now to find the balance we would have to add the the starting money (950) with our interest (76$), resulting in our answer of $1,026 after 5 years.
5 0
2 years ago
Read 2 more answers
HELP I DONT UNDERSTAND CAN SOMEONE HELP
Rashid [163]
B

Do 450 x 2/5 (0.4 in decimal form)
8 0
2 years ago
How many ounces of popcorn kernels are needed to make 40 cups of popcorn
Amiraneli [1.4K]

320 oz. are needed to make that much popcorn

5 0
3 years ago
One restaurant uses 5 quarts of soup to make 20 equal servings. Another restaurant uses 7 quarts of soap to make 25 equal servin
rjkz [21]
20/5=4
25/7=<span>3.57142857143 Rounded to the nearest tenth: 3.6
4>3.6
If you want the nearest whole, you would round down to 3 because you would be short of 4.
3<4 </span>
5 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is 43.their difference is 19.find both numbers
    14·1 answer
  • Please help me figure this out!
    9·1 answer
  • Find the mode. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The​ mode
    15·1 answer
  • HELP PLSSSSSSSSSSSSSSA PLSSSSS
    6·2 answers
  • Given below are lease terms at the local dealership. What is the total cash due at signing? Terms: Length of lease = 18 months M
    6·1 answer
  • An equation is written<br><br>ac-b=1<br><br>Based on the equation, which is a true statement?​
    5·1 answer
  • Which expression represents eight times a number, v?
    7·1 answer
  • The scale of a map is 1 in. = 35 mi. On the map, the distance between two cities is 3.25 in. What is the actual
    7·1 answer
  • 6
    6·1 answer
  • An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores below.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!