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
Zepler [3.9K]
1 year ago
11

PLEASE HELP!!! 100 POINTS!

Mathematics
1 answer:
arlik [135]1 year ago
6 0

Answer:

  x = 0; y = -6; z = 1

Step-by-step explanation:

You want to find the solution to the system of equations ...

  • 9x+y-3z=-9
  • 10x-y+2z=8
  • -10x-y+4z=10

<h3>Solution</h3>

This set of equations is conveniently solved using the matrix row-reduction features of a scientific or graphing calculator, spreadsheet, or any of a number of apps or on-line calculators.

The attachment shows the solution to be ...

  (x, y, z) = (0, -6, 1)

__

<em>Additional comment</em>

Solving a system of three or more equations "by hand" often can be done by an ad hoc process. It can be done in systematic fashion using Gauss-Jordan reduction techniques, but that often gets messy. Similarly, Cramer's Rule can be used, but that math tends to involve more arithmetic operations than are really necessary.

Adding the first equation to the other two eliminates the y-variable and reduces the system to two equations in two unknowns.

  (9x +y -3z) +(10x -y +2z) = (-9) +(8) . . . . adding [1] and [2]

  19x -z = -1 . . . . simplified

  (9x +y -3z) +(-10x -y +4z) = (-9) +(10) . . . . adding [1] and [3]

  -x +z = 1 . . . . simplified

At this point, we could graph the two equations, or we can proceed algebraically.

Adding these two equations gives ...

  (19x -z) +(-x +z) = (-1) +(1)

  18x = 0   ⇒   x = 0

Using the second of the reduced equations, we find ...

 -x +z = 1

  0 +z = 1   ⇒   z = 1

And using the second of the original equations, gives us ...

  10(0) -y +2(1) = 8

  -y = 6 . . . . . subtract 2

  y = -6 . . . . multiply by -1

Then the solution is (x, y, z) = (0, -6, 1), as above.

You might be interested in
2/5 of 2/3
Vilka [71]

Answer:

4/15 is your answer my friend

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6). Find the new vertices. Use the rule (x,y) &gt;&gt;&gt;(x-3,y+5)to tra
Mama L [17]

Answer:

A(-1,9), B(-4,2) and C(0,11)

Step-by-step explanation:

The vertices of a triangle are A(2,4),B(-1,-3),and C(3,6).

To translate, we use the rule (x,y) >>>(x-3,y+5)

For Vertex A(2,4),

The new vertex is (2-3, 4+5)=(-1,9)

For Vertex B(-1,-3)

The new vertex is (-1-3,-3+5)=(-4,2)

For Vertex C(3,6)

The new vertex is (3-3,6+5)=(0,11)

After translation of Vertex A, B and C by the given rule, the new points are A(-1,9), B(-4,2) and C(0,11)

8 0
3 years ago
7b ÷ 12 = 4.2                  What is b?
saw5 [17]
\frac{7b }{12} = 4.2 \ \ /*12 \\ \\7b=4.2*12\\ \\7b= 50.4 \ \ \/:7\\ \\\frac{7}{7} \ b= \frac{50.4 }{7}\\ \\b= 7.2


5 0
3 years ago
Read 2 more answers
Use the volume formula to find the volume of the prism
bonufazy [111]

The answer is A

1 1/2 *2 *1 1/2 = 4.5 or 4 1/2

5 0
2 years ago
Read 2 more answers
What is the mixed number for 51/9
Setler79 [48]

5 2/3 is the answer to your question
6 0
3 years ago
Read 2 more answers
Other questions:
  • Sarah was trying to decide what kind of cat food to buy at the store. smiley cat costs 7.90 for 10 pounds. purr plus cost .85 pe
    5·1 answer
  • Use the drop-down menus to choose steps in order to correctly solve 3+4d−14=15−5d−4d for d.
    14·2 answers
  • Is (3,10) a solution of the equation y=4x?
    5·1 answer
  • How do you solve y=2.5x+5
    7·2 answers
  • What is the slope of the line given by the equation below? y = - 3x + 5
    11·1 answer
  • Please help me with this homework
    14·2 answers
  • Find −1/6(2.4) . Write your answer as a fraction in simplest form.
    12·1 answer
  • Simplify 12 to the power of 3 over 12 to the power of 7
    8·1 answer
  • Solve the inequalities by graphing. Select the correct graph. 2x - y &gt; 4 2x - y &lt; -2
    9·1 answer
  • A recipe has a ratio of 1 1/2 cups of cheese to 6 oz. of pasta. Based on this recipe, which statement is true?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!