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
Akimi4 [234]
3 years ago
15

Solve the system using the elimination method.

Mathematics
1 answer:
spayn [35]3 years ago
6 0

Answer:

  (x, y, z) = (-22/13, 29/13, 6/13)

Step-by-step explanation:

Adding the first and second equations, we get ...

  (3x +2y -3z) +(7x -2y +5z) = (-2) +(-14)

  10x +2z = -16 . . . . collect terms

  5x + z = -8 . . . . . . divide by 2 . . . [eq4]

Adding twice the second equation to the third, we get ...

  2(7x -2y +5z) +(2x +4y +z) = 2(-14) +(6)

  16x +11z = -22 . . . . . . [eq5]

Now, we have two equations with the variable y eliminated. We can subtract [eq5] from 11 times [eq4] to eliminate z:

  11(5x +z) -(16x +11z) = 11(-8) -(-22)

  39x = -66

  x = -66/39 = -22/13

From [eq4], we can find z as ...

  z = -8 -5x = -8 -5(-22/13) = 6/13

And from the second equation, we get ...

  y = (1/2)(7x +5z +14) = (1/2)(7(-22/13) +5(6/13) +14) = 29/13

The solution is (x, y, z) = (-22/13, 29/13, 6/13).

You might be interested in
Cos 0=9/15 find tan 0
Liula [17]

Answer:

I HAVE NO CLUE BUT HAVE A NICE DAY....

5 0
2 years ago
What is the degree of 5x^3+3x^2-4x+1<br><br><br> 3<br> 4<br> 5<br> 6
sergeinik [125]
The degree is 3 because that is the highest exponent in the equation
3 0
3 years ago
a half of whats johns age was 4 years ago is equal to one third of what will be in 5 years time. how old is john now?
Leona [35]

Let x = John's age now

half of what johns age was 4 years ago: (1/2)(x-4)

is equal to one third of what it will be in 5 years time: (1/3)(x+5)

 

(1/2)(x-4) = (1/3)(x+5)

 

3(x-4) = 2(x+5)

 

3x - 12 = 2x + 10

8 0
2 years ago
What is a reminder of 46 divided by 2
Tema [17]
The answer two your problem is no remainder again because 46 divided by 2 equals 23
3 0
3 years ago
Read 2 more answers
5. How does the length of the long leg compare to the length of the short leg?
Oliga [24]

Answer:

measure it bro lol

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Help please i dont get it
    11·1 answer
  • Rectangular garden that is 10 feet longer than it is wide. A sidewalk that is 3 feet in width surrounds the garden. The total ar
    6·1 answer
  • Two different sizes of square metal duct are joined by a piece that is a frustum of a pyramid. Find the lateral surface area, if
    7·1 answer
  • 8. Corey combines x pounds of
    6·2 answers
  • What are the missing parts that correctly complete the proof?
    14·1 answer
  • Sterling plants a tree that is 4 3/4 feet tall. One year later, the tree is 5 2/5 feet tall. How many feet did the tree grow?
    13·2 answers
  • Show on a number line the set of numbers x for which: a |x|&lt;3 b |x| &gt;3 c |x| ≤5
    10·2 answers
  • Denise likes 2 teaspoons of milk in every 8-ounce cup of coffee she drinks. How many teaspoons of milk does Denise like per ounc
    6·2 answers
  • If 2^x3^y=18 and 2^x×3^y=36 then find the value of x and y​
    8·1 answer
  • mark is baking blueberry muffins for a school fundraiser the recipe calls for one cup of vegetable oil for every 12 muffins how
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!