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
Mumz [18]
3 years ago
12

Question 8

Mathematics
2 answers:
sasho [114]3 years ago
6 0

we are given

system of equations

First equation is

3x-2y=31

Second equation is

3x+2y=-1

now, we can find augmented matrix

A=\begin{pmatrix}3&-2&31\\ 3&2&-1\end{pmatrix}

now, we can change it into reduced row echelon form

step-1: multiply the 1st row by 1/3

A=\begin{pmatrix}1&-2/3&31/3\\ 3&2&-1\end{pmatrix}

step-2:add -3 times the 1st row to the 2nd row

A=\begin{pmatrix}1&-2/3&31/3\\ 0&4&-32\end{pmatrix}

step-3:multiply the 2nd row by 1/4

A=\begin{pmatrix}1&-2/3&31/3\\ 0&1&-8\end{pmatrix}

step-4: add 2/3 times the 2nd row to the 1st row

A=\begin{pmatrix}1&0&5\\ 0&1&-8\end{pmatrix}

so, we get

x=5,y=-8

Answer is (5,-8)

balandron [24]3 years ago
5 0

Solution is (5,-8)

3x – 2y = 31

3x + 2y = -1

first we write it in matrix form

3  -2   | 31   -------------> Row 1

3   2   | -1  -------------> Row 2

We use row operations and get matrix in 1   0    and 0  1  form

Subtract Row 2 by row 1.  R2 -> R2 - R1. So R1 remains the same

3  -2   | 31   -------------> Row 1

0   4   | -32  -------------> Row 2

Divide row 1 by 3, R1-> R1/3. So R2 remains the same

1   \frac{-2}{3}   | \frac{31}{3}    -------------> Row 1

0   4   | -32  -------------> Row 2

Divide row 2 by 4. R2 -> R2/4

1   \frac{-2}{3}   | \frac{31}{3}    -------------> Row 1

0   1   | -8  -------------> Row 2

Now we need to get 0 in the place of -2/3

Multiply Row 2 by 2/3  and add it with Row 1. R1 --> 2/3 times R2 + R1

1   1*\frac{2}{3}+\frac{-2}{3}   | -8*\frac{-2}{3}\frac{31}{3}    -------------> Row 1

0   1   | -8  -------------> Row 2

Now simplify the fraction

1   0   | 5    -------------> Row 1

0   1   | -8  -------------> Row 2

So from this we can see that x=5  and y = -8

Solution is (5,-8)



You might be interested in
Mary took a math test and she got four questions incorrect and 21 correct. What percent did answer correctly?
AnnZ [28]

Answer:

84%

Step-by-step explanation:

21 correct + 4 wrong = 25 questions in total

\frac{21}{25} x 4 = \frac{84}{100}

\frac{84}{100} = 0.84

0.84 = 84%

6 0
3 years ago
Davis printed 24 photos in 8 minutes. how many photos did he print per minute
Arada [10]
24 photos in 8 minutes

24/8 = the number of photos per minute

24/8 = 3

3/1 is the number of photos/ minutes

3 photos per minute is your answer

hope this helps
8 0
3 years ago
Read 2 more answers
(11 BRAINLY POINTS!!) Which of the following numbers can be expressed as a decimal that terminates?
balu736 [363]

Answer:

I believe that it is b

Step-by-step explanation:

But correct me if i am wrong! Have a nice day!

4 0
3 years ago
Read 2 more answers
HELP PLEASE I NEED THIS DONE ASAP
Nata [24]

a). 0.45 with a line over the 45 means 0.45454545454545... forever.

It's equivalent to  45/99  which is  <em>5/11</em> .

b). 0.45 with a line over the 5 means 0.455555555... forever.

It's equivalent to (0.4 + 0.555555.../10)

The 0.4 part is  4/10

The 0.5555555555.../10 part is  5/90 .

(4/10) + (5/90) = <em>41/90 </em>

c). 0.45 means 45/100 .  That's <em> 9/20</em> .

I don't think you're supposed to be posting unit test questions on Brainly.

6 0
3 years ago
Choose the best definition for the following term: variable
andrew11 [14]

Step-by-step explanation:

a variable is a quantity that may change within the context of a mathematical problem or experiment

I hope this was helpful

6 0
3 years ago
Other questions:
  • Nick has read the first 56 pages of a 152-page book. He plans to read 12 pages per day until he finishes. Which of these shows t
    8·1 answer
  • 15 POINT!!!!!!!!!!!!!!!!!!!! Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines
    15·2 answers
  • Which statement corresponds to the conjunction x &gt; -5 and x &lt; 14
    9·2 answers
  • PLEASE HELP I’m really confused about this
    5·2 answers
  • What is 25% of $8? $ Submit​
    14·1 answer
  • Does the MVT apply? Explain why or why not.<br> y=-x^2/x-1 ; [-1,1]
    7·1 answer
  • What is the equation of the line that passes through the point (-3, 4) and has a<br> slope of 1?
    5·1 answer
  • Are the functions of f(x) = |x - 4|and g(x) = |x| - 4 equivalent?
    11·1 answer
  • Give an example of a nonlinear function. You can describe this function in one or more of the following ways: with a table, grap
    13·1 answer
  • I need help with this problem
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!