x+2y-z=5
-X-y+2z=-13
2x+y-2z=14

Answers

Answer 1

Answer:

[tex]x+2y-z=5 ...(1)\\ -x-y+2z=-13...(2) \\ 2x+y-2z=14...(3) \\ \\ add \: (2) + (3) \\\boxed{x= 1} \\ 2 \times (1) + (2) \\ x + 3y = - 3 \\ 1 + 3y = - 3 \\ 3y = - 4 \\ \boxed{y = - \frac{4}{3} }\\ solve \: for \: z \\ x + 2y - z = 5 \\ 1-\frac{4}{3}(2)-z=5\\3-8-3z=15\\3z=-20\\\boxed{z = - \frac{20}{3} }[/tex]


Related Questions

Mary has 3 more apples than Ted and 3 times as many apples as Alex. How many apples do all three of them have combined if Mary has 24 apples

Answers

Answer:

52

Step-by-step explanation:

24-3=21 21÷3=7 24 + 21 + 7 = 52

Please Help! I will give you a lot of points and the brainiest!

A married man filing separably with a taxable income of $130,000. Compute the tax owned (look at chart)

--PLEASE show work

Answers

First, find the tax rate for a person whose taxable income is $130,000. By looking at the table, you can see the tax rate is 33%. To find the total tax, multiply 33% by $130,000.

[tex]0.33 \times 130000 = 42900[/tex]

Thus, the tax this person has to pay is $42,900.

In a multiple choice test, a candidate gets 3 marks for a correct answer and one mark is deducted for an incorrect answer. If Ayobi answers all 30 questions and scores 30 marks, how many questions did
she get wrong?

Reason too

Answers

Answer:

30/3 = 10

Step-by-step explanation:

Divide 30 by 3 to get your answer which is going to be 10

30 ÷ 3= 10

Since you get 3 marks each answer. You will divide 30 by 3. Which is 10.

A triangle with an area of 370 square inches
has a height that is 6 less than 8 times its
base. Find the base and height, in inches, of
the triangle.

Base=
Height=

Answers

Answer:

Step-by-step explanation:

Area of triangle = 1/2 (base × height)

Given, area of a triangle is 192 sq ins. and its height is 8 ins less than its base.

Then, let base = b, height = b-8

Hence, 1/2 (b)*(b-8) = 192

Above equation; “times 2”,

(b)*(b-8) = 384

b^2 - 8b - 384 = 0

(b+16)(b-24)=0

(5x+4)-3x
Solve.
No scam.​

Answers

Answer:

=2x+4

Step-by-step explanation:

Let's simplify step-by-step.

5x+4−3x

=5x+4+−3x

Combine Like Terms:

=5x+4+−3x

=(5x+−3x)+(4)

=2x+4

Answer:

2x+4

Step-by-step explanation:

Hope fully it is correct

spot the error and rewrite pllz I need now


Quotient ×Remainder+dividend=Divisor​

Answers

Answer:

Divisor × Quotient + Remainder = Dividend

Step-by-step explanation:

Hope it is helpful.....

Answer:

Divisor×Quotient+Dividend=Remainder

HELP MEEEEEEE (−4)÷(14)(−2)

Answers

(-4)/(14)(-2)
=-4/-7
=4/7

Hope this help

hey guys pls help me i need to submit this before 1hr .graphing an inverse function.y = 4x + 12 using the x values (-2,-1, 0, 1 and 2).​

Answers

Answer:

4, 8, 12, 16, 24

Step-by-step explanation:

Replace the x with the x values starting at -2 and use the equation with the new x value.

E.g.

x = -2

y = 4 * -2 + 12

y = 4

Sorry if my explanation isn't the best.

find the surface area 5 in 7 in 3 in​

Answers

Answer:

Step-by-step explanation:

If theses are the edges of a prism then

Surface area = 2(5*7 + 5*3 + 7*3)

= 2 * 71

= 142 in^2.

Which is the graph of the following equation?
|x| = 2

Answers

Answer:

A

Step-by-step explanation:

|x|= negative and positive with the lines

How would I be able to simplify 12/3? Please explain step by step

Answers

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:

please help me with this sum​

Answers

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

c-9

to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people

25-9

thus, your expression to represent the amount of parents would be

c-9

Hope this helped you- have a good day bro cya)

16. A craft shop sold 150 pillows. Small pillows were $6.50 each and large pillows were $9.00 each. If the total amount collected from the sale of these items was $1180.00, what is the total number of each size pillow that was
sold?

Answers

Answer:

82 large pillows, 68 small pillows

Step-by-step explanation:

Suppose all pillows sold were small pillows:

150×$6.50=$975

$1180-$975=$205

$9-$6.50=$2.50

$205÷$2.50=82 (no of large pillows sold)

No. of small pillows sold

=150-82

=68

9. Which lines are parallel if mZ4=mZ5? Justify your answer.

Answers

Answer:

r || s

Step-by-step explanation:

m∠4 = m∠5  Given.

These angles are called alternate interior angles and because you are given that they are = then there are two parallel lines. The converse of the theorem stated.  If alternate interior angles are cut by a transverse and two lines and the alternate interior angles are equal, then you have a pair of parallel lines.

Angle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1. Graph angle ABC and its reflection across the line x=-2?
2. What are the coordinates of angle A'B'C' if angle ABC is reflected across the x-axis?
3. What are the coordinates of angle A'B'C' if angle ABC is reflected across the y-axis?
4. What are the coordinates of angle A'B'C' if angle ABC is reflected across the line y=x?
--- Sorry.

Answers

where’s the graph i will try to help

50 tickets need sold but only 9 have been sold what percent have been sold?

Answers

Answer:

18%

Step-by-step explanation:

In St John's school there are 20 rooms that need cleaning. It takes four cleaners two
hours each school day to clean all of the rooms.

How long does each room take to clean ?

Answers

10 minutes please mark brainliest

Answer:

im a curious cat lolololol

Step-by-step explanation:

What is the sum of 6.7

Answers

Answer:

the number must be greater than 6.7 Therefore the sum is negative

6.7-7=-0.3

Answer:

the number must be greater than 6.7 Thus, the sum will be negative

for example the number could be 7

Step-by-step explanation:

6.7-7=-0.3

is a/b +b/c rational number

Answers

Answer:

Yes.

Step-by-step explanation:

Yes.

Assuming a, b and c are integers (not = 0)

a/b + b/c

= (ac + b^2) / bc   which is a rational number.

trying to figure this out

Answers

The answer is -5 because -15 plus 10 is -5

Please help me!

If you wanted to find the difference of 6/25 - 4/5, what common denominator should you choose? Why?

Answers

Answer:

Choose 1/25 as the common denominator

Step-by-step explanation:

1/25 is the lowest number that both existing denominators can be factored into.

6/25 would remain the same....  6/25

4/5 would become 20/25.....  multiply the top and bottom by 5

So 6/25 - 20/25 = - 14/25

y-3(2y-7)=76 quick and with steps

Answers

Answer:

y = -11.

Step-by-step explanation:

Y-3(2y-7)=76

Y-6y+21=76

-5y+21=76

-5y=55

y=-11.

Answer:

Step-by-step explanation:

⇔y-6y+21=76⇔-5y+21=76⇔-5y = 76 -21⇔-5y=55 ⇔y= 55:(-5) ⇔y= -11

I keep getting D wrong

Answers

Yeah d is wrong

:((( don’t know what it is supposed to be.

place the boxes in the correct location this Math problem 15 points

Answers

Answer:

but where is the question please type your full questions

Do you have a picture

can anyone heelp me pls pls

Answers

Answer:

3. Lotion

2. Suspension

1. Capsule

Please help me with this question

Answers

Step-by-step explanation:

and plot the normal 1 , I am pretty sure

The larger trapezoid is dilated form the
smaller trapezoid

Answers

Answer:

are there any equations for this possibly? and if not it is just a smaller scale version of the dilated trapezoid.


[tex]\frac{8}{22} + \frac{3}{22} [/tex]
SOLVE It
NO G.OOGLE ​

Answers

Answer:

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Step-by-step explanation:

[tex]\sf\huge\longmapsto \frac{8}{22} + \frac{3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{8 + 3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Help needed. 5x+8 6x+8 and 82 ……..

Answers

Answer:

x=6

Step-by-step explanation:

a triangle is 180º total

a line is also 180º total

180-82=98

5x+8+6x+8+98=180

11x+114=180

11x=66

x=6

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