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
ira [324]
2 years ago
13

. Solve the system of equations using the Elimination Method.

Mathematics
1 answer:
Westkost [7]2 years ago
4 0

Answer:

{x,y,z}={1,3,4}

Step-by-step explanation:

System of Linear Equations given :

 [1]    x + 3y - 2z = 2

  [2]    3x + 2y + z = 13

  [3]    -2x + 3y - 3z = -5

Solve by Substitution :

// Solve equation [2] for the variable  z

 [2]    z = -3x - 2y + 13

// Plug this in for variable  z  in equation [1]

  [1]    x + 3y - 2•(-3x-2y+13) = 2

  [1]    7x + 7y = 28

// Plug this in for variable  z  in equation [3]

  [3]    -2x + 3y - 3•(-3x-2y+13) = -5

  [3]    7x + 9y = 34

// Solve equation [3] for the variable  y

 [3]    9y = -7x + 34

 [3]    y = -7x/9 + 34/9

// Plug this in for variable  y  in equation [1]

  [1]    7x + 7•(-7x/9+34/9) = 28

  [1]    14x/9 = 14/9

  [1]    14x = 14

// Solve equation [1] for the variable  x

  [1]    14x = 14

  [1]    x = 1

// By now we know this much :

   x = 1

   y = -7x/9+34/9

   z = -3x-2y+13

// Use the  x  value to solve for  y

   y = -(7/9)(1)+34/9 = 3

// Use the  x  and  y  values to solve for  z

 z = -3(1)-2(3)+13 = 4

Solution :

{x,y,z} = {1,3,4}

You might be interested in
What is the median of the following data set? {3, 4, 2, 8, 5} (1 point)
german

Answer:

Step-by-step explanation:

{2, 3, 4, 5, 8}

The median of the following data is 4

4 is in the middle

8 0
3 years ago
Read 2 more answers
Finde the product simplify the anser. 5×10/12
leonid [27]
4.16 (with the 6 repeating).
4 0
3 years ago
He breakdown of a sample of a chemical compound is represented by the function p(t) 300(0.5)t , where p(t) represents the number
Inessa05 [86]
300 represents the initial amount of the substance, the amount present at t=0.

0.5 is the fraction of substance remaining at the end of each year. The fact that this number is 1/2 indicates the half-life of the substance is 1 year.
8 0
3 years ago
Simplify the following expression: (6.8 × 10^3) ×(4.54 × 10^6)
swat32
(6.8\cdot10^3)\cdot(4.54\cdot10^6)=(6.8\cdot4.54)\cdot(10^3\cdot10^6)=30.872\cdot10^{3+6}\\\\=30.872\cdot10^9=3.0872\cdot10^{10}

8 0
3 years ago
Find the measure of the largest angle.
mihalych1998 [28]

Answer:

4x-7

Step-by-step explanation:

Solve for x:

180 = 44 + 3x - 11 + 4x - 7

Combine like terms: 180 = 26 + 7x

Simplify: 154 = 7x

Simplify: 22 = x

Substitute: 3(22) - 11 = 55 and 4(22) - 7 = 81

Create inequality: 44 < 55 < 81

8 0
3 years ago
Read 2 more answers
Other questions:
  • Tom observed how many times his dog jumped whenever he met a new person. Use the data set below to determine the interquartile r
    15·1 answer
  • What is x equal to <br> 2/3x+4=1/6x-5
    11·1 answer
  • I'm can't seem to find a common base.<br><br> I know the answer's x=4 but I thought it was x=0.
    14·1 answer
  • What value of the expression ¡^0x¡^1x¡^2x¡^3x¡^4?
    12·1 answer
  • One number is eight less than the second number. Twice the first is 9 more than 3 times the second. Find the numbers
    14·1 answer
  • 2. Wilton drives a taxicab. He charges $40 per hour. One passenger gave Wilton a tip of $30. He gave Wilton a total of $150. He
    8·2 answers
  • Which list of elements is arranged in order of increasing atomic number?
    7·1 answer
  • Should i add, multiply, subtract, or divide n+16=9
    7·1 answer
  • . What is the place value of the 3 in the number 2.703? 3 0.03 0.3 0.003 HERRY IM TIMED I WILL GIVE
    6·1 answer
  • What is the total surface area of the square pyramid below?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!