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
LiRa [457]
3 years ago
6

Solve the following system of equations for all three variables.

Mathematics
1 answer:
nignag [31]3 years ago
6 0
  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x -  2y -  5z = 4             -4x + 3z = 13

 5x -  2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z -  2y -  5z = 4 ⇒ -9x -  2y -  5z = 4
                                        -18x - 3z = 9

     -4x + 3z = 13
    -18x - 3z =   9
           -22x = 22
            -22    -22
                x = -1
    -18x - 3z = 9
-18(-1) - 3z = 9
       18 - 3z = 9
     - 18       - 18
             -3z = -9
              -3     -3
                z = 3

    5x - 2y + z = 8
5(-1) - 2y + 3 = 8
     -5 - 2y + 3 = 8
     -2y - 5 + 3 = 8
           -2y - 2 = 8
                + 2 + 2
                -2y = 10
                 -2     -2
                   y = -5
          (x, y, z) = (-1, -5, 3)
You might be interested in
What is the lateral surface area of the solid? Assume the top and bottom of
timama [110]

Check the picture below.

so the lateral area will be just the area of the sides, namely excluding the bases at top and bottom, thus

\stackrel{\textit{\LARGE Lateral Area}}{\stackrel{\textit{front and back}}{2(4)(5)}~~ + ~~\stackrel{\textit{left and right}}{2(4)(7)}}\implies 40~~ + ~~56\implies 96~cm^2

4 0
1 year ago
Read 2 more answers
Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)
Ilia_Sergeevich [38]

9514 1404 393

Answer:

  x = 8/7

Step-by-step explanation:

  .2(.7x-5)+0.2=1.4(x-1.6) . . . . given

Eliminating parentheses, we have ...

  0.14x -1 +0.2 = 1.4x -2.24

  1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides

  x = 1.44/1.26 . . . . . . divide by the coefficient of x

  x = 8/7 . . . . . . . . . . .simplify the fraction

__

As a repeating decimal, the value of x is ...

  x=1.\overline{142857}

However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)

_____

<em>Additional comment</em>

The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.

6 0
3 years ago
Read 2 more answers
1+1<br><br><br> youre welcome people
laiz [17]

Answer:

Fish

Step-by-step explanation:

i ate the fish

4 0
3 years ago
Read 2 more answers
a professional baseball team won 84 games this season . the team won 14 more games than it lost . how many games did the team lo
JulsSmile [24]
It played 20 lost 10
thank me later
7 0
3 years ago
Dustin just got a new credit card that offers both an introductory APR and a
erma4kov [3.2K]

Answer:

APEX CONFIRMED 2.7%

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which could be the result of compressing the graph of y = -8x – 12 and reflecting it across the horizontal line
    7·1 answer
  • Write the equation for the horizontal line that contains point G(3, 4).
    13·1 answer
  • Tell whether the equation is true. Justify your answer.<br><br>24x3+(15-7)÷2=8x9+12÷2
    7·1 answer
  • Please help me out with the question in the photo. Thank you so much! Will award brainliest.
    6·1 answer
  • Which of the following equations represents a horizontal line through (5,-3)?
    6·2 answers
  • Alejandra correctly wrote the equation y – 3 = y minus 3 equals StartFraction 1 Over 5 EndFraction left-parenthesis x minus 10 r
    11·2 answers
  • The parks department is creating a walkway to run through a park. The park, in the shape of a square, measures 300 feet on each
    7·1 answer
  • Date
    6·1 answer
  • ANSWER ASAP PLEASE .
    5·1 answer
  • What type of polynomial is this 5x2-x+4
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!