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
kozerog [31]
3 years ago
15

Use the echelon method to solve the following system of two equations in two unknowns. Check your answer. x+y=17 amd 9x-y=73

Mathematics
1 answer:
Komok [63]3 years ago
7 0

Answer:

  y = 8

x = 9

Step-by-step explanation:

given equation,

x + y = 17     ........(1)

9 x - y = 73...........(2)

writing in matrix form

A X = B

\begin{bmatrix}1 &1 \\ 9 &-1 \end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}17\\73 \end{bmatrix}

using augamented matrix A|B

\begin{bmatrix}1 &1& 17\\ 9 & -1 & 73\end{bmatrix}

using row transformation

R₂ = R₂ - 9 R₁

\begin{bmatrix}1 &1& 17\\ 0 & -10 & -80\end{bmatrix}

now,

\begin{bmatrix}1 &1 \\ 0 &-10 \end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}17\\-80 \end{bmatrix}

now

-10 y = -80

    y = 8

and

x + y = 17

x = 17 -8

x =9

You might be interested in
HELP!!!!!
Elis [28]

Line 1 and line 4 are parallel

Step-by-step explanation:

Two lines are said to be parallel if they have same slope.

In order to compare the lines given, we have to write them all in the same form, and then compare their slopes.

Line 1:

y=\frac{1}{3}(x+6)

Applying distributive property,

y=\frac{1}{3}x+2

Line 2:

y-6 = 3x\\\rightarrow y=3x+6

Line 3:

y=-3(x-4)

Applying  distributive property,

y=-3x+12

Line 4:

3y+18=x

re-arranging,

3y=x-18\\y=\frac{1}{3}x-6

Now we have rewritten all the lines in the form y=mx+q, where m is the slope. By comparing the values of m, we see:

m_1 = \frac{1}{3}\\m_2=3\\m_3 = -3\\m_4=\frac{1}{3}

Therefore, the lines which are parallel are line 1 and line 4.

Learn more about parallel and perpendicular lines:

brainly.com/question/3414323

brainly.com/question/3569195

#LearnwithBrainly

7 0
3 years ago
If a = 5^x, b = 5^y and a^y×b^x = 25 then prove that: xy =1​
avanturin [10]

a =  {5}^{x}  \\ b =  {5}^{y}  \\  {a}^{y}  \times  {b}^{y}  = 25 \\ prove \: ( {5}^{x} )^{y}  \times ( {5}^{y} ) ^{x}  = 25 \\  {5}^{xy}  \times  {5}^{yx}  = {5}^{2} \\  {5 }^{xy + yx}  = 5^{2}  \\ 5^{2xy}  =  {5}^{2} \\ is \:  \: 2xy = 2 \\ xy =  \frac{2}{2}  \\ xy = 1

3 0
3 years ago
Help with my math i will mark brainliest
Ganezh [65]
N=0




Done !!!!!!!! Can I get brainliest
4 0
2 years ago
Read 2 more answers
Is 19lb greater than 298oz
bulgar [2K]

Answer:

yes because 19 lb. convert into 304 so it would be greater also could you mark me as the brainiest i would appreciate it im trying to move up in rank

7 0
2 years ago
Read 2 more answers
14 POINTS.
wel

Answer:

2.3 could, but not -0.25.

Step-by-step explanation:

It is impossible to have any probability larger than 100 or lower than 0. 2.3 is possible bc it's below 100 and above 0.

6 0
3 years ago
Read 2 more answers
Other questions:
  • Can some one help me
    11·2 answers
  • How far have u gone if you go 50 miles per hour for 30 seconds
    15·1 answer
  • The ratio of men to women working for a company is 2 to 3 . If there are 120 employees total, how many women work for the compan
    10·1 answer
  • What is the midpoint of a segment whose endpoints are ( 14, -7 ) and ( 6, -7 )?
    8·1 answer
  • 6. Find the areas of the rectangles with the following side lengths.
    14·1 answer
  • Carol has eight and 4 3/4 yard of material do you need to use 1/3 material to make a dress how many yards of material will she n
    7·1 answer
  • Se ocupa del estudio de todos los hechos y acontecimientos que se han presentado en las
    7·1 answer
  • Write the ratio of dogs to cats in simplest form.
    13·1 answer
  • What is 2.75% as a fraction in simplest form
    10·1 answer
  • Find B on AC that is 2/5 of the distance of A to C.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!