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
rusak2 [61]
3 years ago
14

Solve the system of equations.

Mathematics
1 answer:
bixtya [17]3 years ago
8 0

\left\{\begin{array}{ccc}2x-3y=16&|\cdot2\\3x+2y=11&|\cdot3\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-6y=32\\9x+6y=33\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad13x=65\qquad|:13\\.\qquad x=5\\\\\text{put the value of x to the second equation}\\\\3(5)+2y=11\\15+2y=11\qquad|-15\\2y=-4\qquad|:2\\y=-2\\\\Answer:\ B)\ (5,\ -2).

You might be interested in
Simplify <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B4%7D%5E%7B2%7D%20%7D%7B16%7D%20" id="TexFormula1" title=" \fra
babunello [35]

Answer: <em>1</em>

Step-by-step explanation:

\dfrac{ {4}^{2} }{16}=\dfrac{16}{16} =1

7 0
3 years ago
Read 2 more answers
PLEASE HELP
lisabon 2012 [21]

Answer:

Step-by-step explanation:

5 0
3 years ago
Help whats the answer​
Gnom [1K]

Answer:36cm

Step-by-step explanation:

8 0
3 years ago
Determine whether the set of vectors is a basis for ℛ3. Given the set of vectors , decide which of the following statements is t
schepotkina [342]

Answer:

(A) Set A is linearly independent and spans R^3. Set is a basis for R^3.

Step-by-Step Explanation

<u>Definition (Linear Independence)</u>

A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.

<u>Definition (Span of a Set of Vectors)</u>

The Span of a set of vectors is the set of all linear combinations of the vectors.

<u>Definition (A Basis of a Subspace).</u>

A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.

Given the set of vectors  A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right) , we are to decide which of the given statements is true:

In Matrix A= \left(\begin{array}{[c][c][c][c]}(1) & 0 & 0 & 0\\ 0 & (1) & 0 & 1\\ 0 & 0 & (1) & 1\end{array} \right) , the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column. R^3 has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans R^3.

Therefore Set A is linearly independent and spans R^3. Thus it is basis for R^3.

8 0
3 years ago
What is the slope of a line with endpoints at (3,4) and (2,5)?
Lesechka [4]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-4}{2-3}\implies \cfrac{1}{-1}\implies -1

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is a interior angles in geometry
    11·1 answer
  • Can someone help me?
    14·1 answer
  • Please help me ASAP
    15·1 answer
  • Please help me on this I do not understand
    8·2 answers
  • Solve for x and y<br><br> -4x + 9y = 9<br><br> x - 3y = -6
    14·1 answer
  • Please help me find x
    6·1 answer
  • A particular fruit's weights are normally distributed, with a mean of 344 grams and a standard deviation of 10 grams. If you pic
    13·1 answer
  • Jamal spends $63.50 on craft supplies.  He makes $125.00 selling crafts.  How much profit did Jamal make?  ​
    11·2 answers
  • Help with this i dont understand
    11·1 answer
  • Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, inc
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!