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
Find the LCM of 2,10,and 6
andrey2020 [161]

Answer : LCM of 2,10,6 is 30 .

5 0
3 years ago
What is 5/5 using simplest form
boyakko [2]
5/5 is 1/1 but the simplest form is just 1
4 0
3 years ago
The sum of the measurements of two angles is 107.3 . One angle has a measure of 51. What is the measure of the second angle.Writ
STALIN [3.7K]

Answer:

bcthjhrthtgtgtvrb

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Plzzzz i will give you brainliest
geniusboy [140]

Answer:

B) 11.8

Step-by-step explanation:

First write in 4 for x and 2 for y

Then multiply 1.3 times 6 (4+2) and subtract 2-6

Your expression should now be 7.8 +4

After adding these, it should be 11.8

5 0
3 years ago
I. need help plsssssssssssssssss
ValentinkaMS [17]

Answer:

I believe it is 1 4 2

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • You mix 1/4 cup of juice concentrate for every 2 cups of water to make 18 cups of juice. How much juice concentrate and water do
    14·1 answer
  • Math diagonal polygon 50 points
    11·2 answers
  • How to do this question plz ​
    9·1 answer
  • Find the distance between the points (8,1) and (2,10).<br> Round decimals to the nearest tenth.
    9·1 answer
  • Plz help me I don't understand the answer!!!!!!!!!!!
    13·1 answer
  • A toy store marks down every toy by 15% in January.How much does a toy cost during January?Use p for the price in December
    6·1 answer
  • Complete the remainder of the table for the given function rule: y = 4 - 3 -4 0 4 8 12 0 0 y7 4 [?]​
    11·1 answer
  • No one is correctly answering part b in the question plsss help me. Photo attached too!!
    6·2 answers
  • 56°<br> 101°<br> Find the value of the missing angle a.
    14·2 answers
  • Which ames are other ways to name &lt;1?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!