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
Vanyuwa [196]
3 years ago
14

Help with matrice equations

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

Answer:

21) x=1, y=-1, z=2 and 23) x=3, y=-1, z=-1

Step-by-step explanation:

there are 3 equations in 21)

1) x+y-z=-2

2)2x-y+z=5

3)-x+2y+2z=1

solve for x by adding equation 2) and 1)

2)2x-y+z=5 +  1) x+y-z=-2   = 3x=3, then divide by 3 and x=1

solve for z by adding equation 1) and 3)

1) x+y-z=-2 + 3)-x+2y+2z=1

we then get a new equation, 4), by isolating z

3y+z=-1 which is 4) z=-1-3y

substitute our new equation, 4) z=-1-3y, and x=1 into equation 1) to get y

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

isolate y to get y=-1

then substitute y=-1 into equation 4) to get z=2

check by substituting x=1, y=-1, and z=2 into all 3 equations

there are 3 equations

1)x+3y=0

2)x+y+z=1

3)3x-y-z=11

add equation 3) and 2) together to get x

3)3x-y-z=11 + 2)x+y+z=1

4x=12, x=3

substitute x=3 into equation 1) (3)+ 3y=0 to get y

3y=-3, y=-1

substitute x=3 and y=-1 into equation 2) to get z

(3)+(-1)+z=1,  z=-1

You might be interested in
What number should be added to both sides of the equation to complete the square x^2+3x=6
Allisa [31]
Take half of the coefficient of x:  It is 3, and half that is 3/2.


Then   <span>x^2+3x=6  becomes:

</span><span>           x^2+3x + (3/2)^2 =6 + (3/2)^2, and

             (x+3/2)^2 = 6 + 9/4

You were not asked to solve the equation, but why not do it for the practice?

</span>Solve (x+3/2)^2 = 6 + 9/4 for x.  There will be 2 values.
8 0
3 years ago
How many ways can the letters in the word balloon be arranged? 210 1,260 2,520 5,040
Lapatulllka [165]

Answer:

The number of ways this can be done is 1,260 ways

Step-by-step explanation:

In this question, we are asked to calculate the number of ways in which the letters of the word balloon can be arranged.

To do this, we take into consideration those letters that are repeated and the number of times repeated. The letters are l and o and are repeated two times each.

The number of ways = 7!/2!2! = 5040/4 = 1,260 ways

6 0
3 years ago
The following graph shows a proportional relationship.
elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

8 0
2 years ago
An orange is an example of a____ figure.<br> Solid <br> Plane<br><br> (7th grade Math)
GenaCL600 [577]
Solid!

I hope I helped!
4 0
3 years ago
Read 2 more answers
If 32 % of a is 1.12 then what is the value of a?
alukav5142 [94]

Answer:

4.5 is the value of A

Step-by-step explanation:

do it doing part/whole and cross crossing :)

32/100 because it’s a percentage and 1.12/x. 1.12 times 100 to get 112, and then 32 times x = 32x. your equation right now is 32x = 112, bur we want to get rid of that x, so we are going to divide 112/32 to get the whole of 3.5 for the value of A.

7 0
3 years ago
Other questions:
  • Pls help me!!!!!!! will give brainliest to the first answer
    14·2 answers
  • Can you also use the LCM of the denominator of the fraction rewrite the difference 8\15-1\6? What is the difference?
    15·1 answer
  • Need to know the answer to this again
    14·1 answer
  • Solve for X 3(-2x-1)=2(x+5)
    9·2 answers
  • What are not multiples of 4?
    12·2 answers
  • Figure A is a scale image of Figure B. What is the value of x?
    7·2 answers
  • You are hiking in the woods at a rate of 3 mph. The function y=3x describes how many miles y you walk in x hours. create an inpu
    8·1 answer
  • If De'Angelo uses 6 cups of flour and 4 cups of sugar in his birthday cake, how much flour would
    14·2 answers
  • -37 4/5 divided by 4/5
    12·2 answers
  • you have 4 ice cubes in your cup of lemonade. each ice cube has a length of 7 3/4 cm, a width of 4 5/8 cm and a height if 2 4/5
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!