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
Leokris [45]
1 year ago
7

I need to know if my answer is correct it is the circled one I used systems of equations to solve this one

Mathematics
1 answer:
Flura [38]1 year ago
7 0

SOLUTION

STEP1: write out the equations

\begin{bmatrix}2x-y+3z=1\ldots eq1 \\ 5x+2y-2z=4\ldots eq2 \\ -7x-y-z=-5\ldots eq3\end{bmatrix}

STEP2: From the first equation, make x the subject of formula

\begin{gathered} 2x-y+3z=1 \\ 2x=1+y-3z \\ \text{Divide both sides by 2} \\ x=\frac{1+y-3z}{2} \end{gathered}

STEP3: Substitute the expression for x into equation 2 and 3

for equation 2, we have

5\mleft\lbrace\frac{1+y-3z}{2}\mright\rbrace+2y-2z=4

Then for equation 3, we have

-7\mleft\lbrace\frac{1+y-3z}{2}\mright\rbrace-y-z=-5

STEP4:Simplify each of the expression above

\begin{gathered} 5\mleft\lbrace\frac{1+y-3z}{2}\mright\rbrace+2y-2z=4 \\ \frac{5+5y-15z}{2}+2y-2z=4 \\ \text{Multiply the expression above by 2} \\ 5+5y-15z+4y-4z=8 \\ 9y-19z=3\ldots eq4 \end{gathered}

Similarly for the equation obtain for equation 3, we have

\begin{gathered} -7\lbrace\frac{1+y-3z}{2}\rbrace-y-z=-5 \\ \frac{-7-7y+21z}{2}-y-z=-5 \\ \text{Multiply through by 2} \\ -7-7y+21z-2y-2z=-10 \\ -9y+19z=-3 \\ \text{Multiply through by -1} \\ 9y-19z=3\ldots\text{eq}5 \end{gathered}

Step5: Write y interm of z

\begin{gathered} 9y-19z=3 \\ 9y-19z=3 \\ \text{ since the equation are the same, then} \\ 9y=19z+3 \\ \text{Then} \\ y=\frac{19z+3}{9} \end{gathered}

Step6: subsitute the expression for y into the equation for x in step 2

\begin{gathered} x=\frac{1+y-3z}{2} \\ x=\frac{1+\frac{19z+3}{9}-3z}{2} \\ \text{Then} \\ x=\frac{9+19z+3-27z}{18} \\ x=\frac{-8z+12}{18} \\ x=\frac{4(-2z+3)}{18}=\frac{2(-2z+3)}{9} \end{gathered}

Therefore

\begin{gathered} y=\frac{19z+3}{9} \\ \text{And } \\ x=\frac{2(-2z+3)}{9} \end{gathered}

You might be interested in
Help math pls due in 5 min
Dima020 [189]
Your answer is D
hope this helps
8 0
3 years ago
THIS QUESTION IS WORTH 33 POINTS!! PLEASE PLEASE HELP ME
3241004551 [841]
It's less than a whole number like 2/1 times 1/2 is 2/2 or 1
6 0
3 years ago
Read 2 more answers
Which of the following values for x and y make the equation 4x + 2y + 3 = 19 true?
Alex_Xolod [135]
The third one is correct so it would be C.

Just substitute X and Y into the question.
6 0
3 years ago
Read 2 more answers
Asap please !
Verdich [7]

Answer:

3

Step-by-step explanation:

6 divided bye 2=3

3 0
3 years ago
Read 2 more answers
What is the y-intercept of this quadratic funct
kotegsom [21]

Answer:

(0,-22)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Everyday mike is allowed to play video games for 5 minutes. How many minutes does mike play video games a week?
    12·2 answers
  • Finding Domain.
    13·1 answer
  • In the diagram, AB = AC. Solve for x. Pls I need help!
    15·1 answer
  • Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =
    13·1 answer
  • A game involves spining this spinner. what is the probality that the pointer will land on g?
    13·2 answers
  • The table shows the number of free throws a player makes in a basketball game and the number of points the player scores in the
    6·2 answers
  • Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
    6·1 answer
  • What’s wants to. answer my question what is 123465839274+384x384729+384=? <br> (Email)
    9·2 answers
  • Classify each triangle by side length and angle measure.
    11·1 answer
  • Solve 8(m - 5 ) = 48
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!