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
Vlad1618 [11]
3 years ago
15

Solve for x, y, and z. Please show all steps.

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

Answer:

I have put my answer in the form (x,y,z)

One solution (3,2,4)

Another solution (-5,-4,-6)

Step-by-step explanation:

I'm going to try to do this by a bunch of substitution.

I'm going to solve first equation for x, second for y, and third for z.

Commutative property x+xy+y=11

Distributive property x(1+y)+y=11

Subtraction property  x(1+y)=11-y

Division property x=(11-y)/(1+y)

I'm going to do the other 2 equations in a similar way:

So the second equation solving for y:    y=(14-z)/(1+z)

The third equation solving for z:  z=(19-x)/(1+x)

I'm going to plug my new first equation into my third equation giving me:

z=(19-[(11-y)/(1+y)])/(1+[(11-y)/(1+y)]

Now I'm going to clean this up by multiplying by compound fraction by (1+y)/(1+y).

z=(19(1+y)-(11-y)]/[1(1+y)+(11-y)]

z=[19+19y-11+y]/[1+y+11-y]

z=[8+20y]/[12]

Simplify

z=(2+5y)/3

Now I'm going to sub this into my non-rewrite of equation 2:

y+(2+5y)/3+y(2+5y)/3=14

Multiply both sides by 3 to clear fractions

3y+(2+5y)+y(2+5y)=42

3y+2+5y+2y+5y^2=42

5y^2+10y+2=42

Subtract 42 on both sides

5y^2+10y-40=0

Divide both sides by 5

y^2+2y-8=0

Factor

(y+4)(y-2)=0

So y=-4 or y=2

If y=-4  then x=(11-(-4))/(1+(-4))=15/-3=-5 and z=(2+5*-4)/3=-18/3=-6

So one solution is (-5,-4,-6)

If y=2 then x=(11-2)/(1+2)=9/3=3 and z=(2+5*2)/3=12/3=4

So another solution is (3,2,4)

You might be interested in
the marine-life store would like to set up fish tanks that contain equal numbers of angel fish, swordtails, and guppies. what is
Arlecino [84]
6 tanks
12 / 6 = 2
24/ 6 = 4
30 / 6 = 5

5 0
3 years ago
Read 2 more answers
In 2016, SONY released its newest version of the PlayStation, the PlayStation 4 Pro. The retail price was $399.99. Many consumer
morpeh [17]

Answer:

1995, because you were paying $1.96 for 1 CPi, now you are paying around $1.16

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the measure of an angle if it is 260 degrees less than six times its own complement?
poizon [28]

Answer:

40 degrees

Step-by-step explanation:

Complementary angles have a sum of 90.

y = 90 - x

The angle is 260 degrees less than six times its complement.

y = 6x - 260

90 - x = 6x - 260

350 - x = 6x

350 = 7x

50 = x

This is the measure of the complement.

y = 90 - x

y = 90 - 50

y = 40

This is the measure of the first angle.

7 0
3 years ago
Math test!!! please help!!! pick abc or d
Soloha48 [4]

Answer:

b

Step-by-step explanation:

i took the test

4 0
3 years ago
Read 2 more answers
How do you multiply 23.50*23.74
Mamont248 [21]

Answer:

557.89

Step-by-step explanation:

Download photomath on Appstore it'll help you explain. but basically you multiply each digit at the bottom to the whole number on the top

    23.50

<u>x   </u><u>23.74</u>

       940     ====== 23.50 multiply to 4

    16450     ====== 23.50 multiply to 7

    70500    ====== 23.50 multiply to 3

<u>+   470000   </u> ====== 23.50 multiply to 2

   557.890    ====== Add all the numbers together, move the decimal sign down to align with the result

<u />

4 0
3 years ago
Other questions:
  • A cookie recipe calls for 7/10 cup of almonds for 6 cookies. How many cups of almonds will you need for 16 cookies?
    7·1 answer
  • Whats the volume of the sphere when the radius is 3
    5·1 answer
  • In general, the point ___is on the graph of the function f(x) = a×b^x.​
    7·2 answers
  • (-12,8), (9,1)<br> What is the point-slope form of the equation of the line?
    6·1 answer
  • Type the correct factors or zeros in the blanks ​
    7·1 answer
  • Brian head 42 class tickets to so he sold 5/6 of the tickets how many tickets did Brian sell
    5·2 answers
  • Which of the following values is farthest to the left on the number line?
    12·1 answer
  • The following are the last 10 run scores Colin got in cricket:
    13·1 answer
  • A certain species of fish require 1.5 cubic feet of water per fish to maintain a
    12·1 answer
  • PLEASE HELPPP. I’ve been stuck on this for so long
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!