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
Semmy [17]
3 years ago
14

Xy+3x+2y=-6yz+y+3z=-3xz+2x+z=-2 Find x, y and z​

Mathematics
1 answer:
Nataliya [291]3 years ago
7 0

Answer:

x = -1 and y = -3.

y = -3 and z = -2.

Step-by-step explanation:

xy+3x+2y=-6 ...... (1)

yz+y+3z=-3 ..........(2)

xz+2x+z=-2 ..........(3)

From the second equation:

yz + y = -3z - 3

y = (-3z - 3)/(z + 1)

Substitute for y in equation 1:

x(-3z - 3)/(z + 1)  + 3x + 2(-3z - 3)/(z + 1)  = -6

x(-3z - 3) + 3x(z + 1) + 2(-3x - 3) = -6(z + 1)

-3xz - 3x + 3xz + 3x - 6x - 6 = -6z - 6

-3xz + 3xz -6x + 6z = 0  

- 6x + 6z = 0 ..........(4).

From the third equation:

xz + z = -2x - 2

z = (-2x - 2) / x + 1)

Now substitute for z in equation ( 4):

-6x + 6 (-2x - 2) / (x + 1) = 0

-6x(x + 1) - 12x - 12 = 0

-6x^2 - 18x - 12 = 0

x^2 + 3x + 2 = 0

(x + 2)(x + 1) = 0

x = -1, -2.

Substitute for x in equation 3:

-z - 2 + z = -2

-2 = -2

so we cant find z from this value of x.

When x = -2:

-2z - 4 + z = -2

-z = 2

z = -2.

Substitute for x = -1 in the first equation:

-y - 3 + 2y = -6

y = -6 + 3 = -3.

y= -3 and z = -2 satisfies  equation 2.

​

You might be interested in
I NEED ANSWERS ASAP(WORTH 20 POINTS) WILL MARK BRAINLIEST
eimsori [14]

Answer:

B. (negative infinity, -1)

3 0
3 years ago
Read 2 more answers
How do you do this question?
Lisa [10]

Answer:

Correct integral, third graph

Step-by-step explanation:

Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.

Given : ∫ tan²(θ)sec²(θ)dθ

Applying u-substitution : u = tan(θ),

=> ∫ u²du

Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1

Substitute back u = tan(θ) : tan^2+1(θ)/2+1

Simplify : 1/3tan³(θ)

Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.

7 0
3 years ago
Please help me on this I’m super stuck
erastova [34]

Answer:

<u>BC = 3.1666</u>

Step-by-step explanation:

To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.

6 0
3 years ago
If triangle ocd ≅ triangle JAL, then which of the following statements are true?
Roman55 [17]

Answer:

I III and IV

Step-by-step explanation:

8 0
3 years ago
The box plot shows ages of randomly sampled attendees at two different movies. Check all statements that apply to Movie A.
deff fn [24]

Answer:

B)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) - 4 B. g(x) = f(x - 4) C. g(x) = f(x +
    8·1 answer
  • What is the solution to the following system of equations?
    9·2 answers
  • Which point represent 110 on the number line below
    14·1 answer
  • What is 50000x700? and 100x123,478
    7·2 answers
  • List the size of DEF in order from shortest to longest​
    10·2 answers
  • Need answers for Question <br> 5 and 6
    5·1 answer
  • Can someone help me with this problem
    15·1 answer
  • Write the equation of the circle with center (0, 0) and (−1, −3) a point on the circle. A) x2 + y2 = 4 B) x2 + y2 = 5 C) x2 + y2
    11·2 answers
  • The side lengths of a triangle are 6,8, and 10. is this a right triangle. will give brainliest.​
    9·2 answers
  • Please help, thank you!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!