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
valkas [14]
3 years ago
15

What is the solution of the system of the linear equations?

Mathematics
1 answer:
____ [38]3 years ago
5 0
2x+3y-z=-16 \\
-3x+3y+z=20 \\
-x+2y+z=2 \\ \\
\hbox{the 1st and 2nd equation:} \\
2x+3y-z=-16 \\
\underline{-3x+3y+z=20} \\
2x-3x+3y+3y=20-16 \\
-x+6y=4 \\ \\
\hbox{the 1st and 3rd equation:} \\
2x+3y-z=-16 \\
\underline{-x+2y+z=2 \ \ \ } \\
2x-x+3y+2y=2-16 \\
x+5y=-14

\hbox{the two new equations:} \\
-x+6y=4 \\
\underline{x+5y=-14} \\
6y+5y=4-14 \\
11y=-10 \\
y=-\frac{10}{11} \\ \\
x+5y=-14 \\
x+5 \times (-\frac{10}{11})=-14 \\
x-\frac{50}{11}=-\frac{154}{11} \\
x=-\frac{104}{11} \\
x=-9 \frac{5}{11}

-x+2y+z=2 \\
-(-\frac{104}{11})+2 \times (-\frac{10}{11})+z=2 \\
\frac{104}{11}-\frac{20}{11}+z=\frac{22}{11} \\
\frac{84}{11}+z=\frac{22}{11} \\
z=-\frac{62}{11} \\
z=-5 \frac{7}{11} \\ \\
\boxed{x=-9 \frac{5}{11}, y=-\frac{10}{11}, z=-5 \frac{7}{11}}
You might be interested in
Mya's bedroom is in the shape of a rectangular prism 15 feet long, 12 feet wide, and 10 feet high. It has no windows. Mya wants
azamat

Answer:

1800

Step-by-step explanation:

15x12x10= 120x 15= 1800

6 0
3 years ago
Find the inverse of the function y = x2 - 12.
ivolga24 [154]

Answer:

y = -1/2 - 12

Step-by-step explanation:

The inverse function of y= 2x -12 would be y = -1/2x-12

So if its positive ex(5) and it ask for the inverse that would be - 1/5

You put a 1 on top and make it negative

7 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (2, 2) and (5, 6). Simplify your answer and write it as a proper fraction, improp
GREYUIT [131]

Answer:

The slope of the line = m = 4/3

Step-by-step explanation:

Given

  • The point (2, 2)
  • The point (5, 6)

To determine:

Find the slope of the line that passes through (2, 2) and (5, 6).

Finding the slope between (2, 2) and (5, 6)

  • (x₁, y₁) = (2, 2)
  • (x₂, y₂) = (5, 6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [6 - 2] / [5 - 2]

               = 4 / 3  

Thus, the slope of the line = m = 4/3

3 0
3 years ago
Translate the sentence into an inequality.
777dan777 [17]

Answer:

3 · (w + 25) ≤ 27

Step-by-step explanation:

3 0
3 years ago
Determine X and Y<br>(2+i) (x+yi) = -7+3i​
IrinaK [193]

Answer:

x=-11\5+13\5i-iy

y=ix+(13\5+11\5i)

Step-by-step explanation:

x+yi=-7+3i\2+i

x+yi=\frac{\left(-7+3i\right)\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}

x+yi=-11\5+13\5i

x=-11\5+13\5i-yi

x=-11\5+13\5i-iy

x+yi=\frac{-7+3i}{2+i}

x+yi=\frac{\left(-7+3i\right)\left(2-i\right)}{\left(2+i\right)\left(2-i\right)}

x+yi=\frac{-11+13i}{5}

x+yi=-\frac{11}{5}+\frac{13}{5}i

yi=-\frac{11}{5}+\frac{13}{5}i-x

\frac{iy}{i}=\frac{-\frac{11}{5}+\frac{13}{5}i-x}{i}

y=\frac{-\frac{11}{5}+\frac{13}{5}i-x}{i}

7 0
3 years ago
Other questions:
  • Which equation has no solution?
    6·2 answers
  • To calculate theoretical probability, divide the number of ______ outcomes by the total number of outcomes.
    14·2 answers
  • At 5:00 a.m., the temperature outside was 66° F. By noon, the temperature had risen to 87° F. Which equation models the temperat
    5·1 answer
  • Mamie saved $161.25. this is 25% of the amount she needs to save how mutch money does she need to save
    10·1 answer
  • Simplify the expression.<br><br>(n^7)^2<br><br>a. n^9<br><br>b. n^49<br><br>c.n^14<br><br>d.2n^14
    6·2 answers
  • what machine can make 138,800 small paper clip in one day and another machine can make 84,250 large paper clips in one day how m
    5·2 answers
  • Find the area of each figure. Round to the nearest tenth if necessary
    12·1 answer
  • Angles PTQ and STR are vertical angles and congruent.
    8·1 answer
  • ABCD is a square. Ifm/ABD = (5x – 20)°, what is the value of x?<br> B<br> E<br> C
    8·1 answer
  • (Will Give Brainliest) −2(4
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!