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
Naddika [18.5K]
3 years ago
9

Solve the system. find x,y, and z please show all steps x-y+z=1 x+y+3z=-3 2x-y+2z=0

Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Solving the system we get, x= -1, y= -2 and z= 0

Step-by-step explanation:

Solving the equations to find x, y and z

x-y+z=1\,\,\,eq(1)\\x+y+3z=-3\,\,\,eq(2)\\2x-y+2z=0\,\,\,eq(3)

Adding eq(1) and eq(2)

x-y+z=1\\x+y+3z=-3\\--------\\2x+4z=-2\,\,\,\,eq(4)\\

Adding eq(2) and eq(3)

x+y+3z=-3\\2x-y+2z=0\\----------\\3x+5z=-3\,\,\,eq(5)

Multiplying eq(4) by 3 and eq(5) by 2

6x+12z=-6\\6x+10z=-6\\-\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\2z=0\\z=0

So, value of z =0

Putting value of z in eq(4)

2x+4z=-2\\2x+4(0)=-2\\2x=-2\\x=-1

So, value of x = -1

Now putting value of z=0 and x =-1 in equation 1

x-y+z=1\\-1-y+0=1\\-y=1+1\\-y=2\\y=-2

So, value of y = -2

So, solving the system we get, x= -1, y= -2 and z= 0

Keywords: Solve the system

Learn more about Solve the system at:

  • brainly.com/question/6075514
  • brainly.com/question/2386054
  • brainly.com/question/7361044

#learnwithBrainly

You might be interested in
Simplify using the order of operations. (2 + 1) 3 ÷ 32 = 1 3 9 2
puteri [66]

Answer: I believe the answer is 0.1875. Must be a typo here, because...

Step-by-step explanation: parentheses first. (2+1)3%32=

After parentheses are taken out. 3x3%32= No exponents, so multiply or divide, whatever comes first.

6%32 is 0.1875

5 0
3 years ago
Solve. -1/3b = 9<br> A.-3<br> B.3<br> C.-27<br> D.27
STALIN [3.7K]
Ok so lets plug in a first -1/3(-3) would equal 9 a is the accurate  answer
3 0
3 years ago
Read 2 more answers
Hey uhm can someone answer this for 12 points
MAXImum [283]

\frac{0.2x - 3.2}{5}  = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x =  \frac{12.2}{0.2}  \\ \boxed{ x = 61}

4 0
2 years ago
Read 2 more answers
Solve the system of equations using matrices. x+7y=02x−8y=22 Question 7 (Mandatory) (1 point) Step 1. Find the coefficient matri
Alex Ar [27]

Answer:

x=7

y =-1

Step-by-step explanation:

Given is a system of equations in x and y as

x+7y=0\\2x-8y =22

This can be written in matrix form as

Ax = B

\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}0\\22\end{array}\right]

Let us find inverse of A

|A| = -8-14 =-22

A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]

X= A ^(-1) B

x=7, y =-1

4 0
3 years ago
Find the perimeter of rectangle whose length is 5m 20 cm and breadth 3.5m​
Mrac [35]

Answer:

17.4

5.2x2

+

3.5x2

=

17.4

3 0
2 years ago
Read 2 more answers
Other questions:
  • Jenn buys 4 balls of yarn for a total of $23.78. She pays with two $20 bills. What is her change?
    13·2 answers
  • A recipe for sweet potato casserole calls for 3/4 cup of milk. Martina has 6 cups of milk. How many sweet potato casseroles can
    14·2 answers
  • Mr. Martin’s math test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Let x be
    5·1 answer
  • How do i solve for x (2x-8)=0
    8·1 answer
  • It is 1.9 miles from a house to a restaurant and 1.2
    6·1 answer
  • Coach Rivas can spend up to $750 on 30 swimsuits for the swim team. The inequality shown can be used to find the maximum amount
    15·1 answer
  • Which ordered pair (x, y) is a solution to given system of linear equations?
    7·1 answer
  • Please answer FAST!!!
    9·1 answer
  • Rationalize the denominator and simplify.<br> 6<br> 15 - 3
    10·1 answer
  • Which description best describes the graph?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!