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
Simora [160]
3 years ago
15

Solve the system by using a matrix equation (Picture provided)

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
3 0

Answer:

Option b is correct (8,13).

Step-by-step explanation:

7x - 4y = 4

10x - 6y =2

it can be represented in matrix form as\left[\begin{array}{cc}7&-4\\10&-6\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}4\\2\end{array}\right]

A= \left[\begin{array}{cc}7&-4\\10&-6\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}4\\2\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (7*-6) - (-4*10)

                                    = (-42)-(-40)

                                    = (-42) + 40 = -2

so, |A| = -2

Adj A=  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-6&4\\-10&7\end{array}\right]/ -2

A⁻¹ =  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}3&-2\\5&-7/2\end{array}\right] *\left[\begin{array}{c}4\\2\end{array}\right]

X= \left[\begin{array}{c}(3*4) + (-2*2)\\(5*4) + (-7/2*2)\end{array}\right]

X= \left[\begin{array}{c}12-4\\20-7\end{array}\right]

X= \left[\begin{array}{c}8\\13\end{array}\right]

x= 8, y= 13

solution set= (8,13).

Option b is correct.

You might be interested in
Help please question in the picture
Delvig [45]

Answer:

A. 361 meters squared

Step-by-step explanation:

hope it helps:)

6 0
3 years ago
Read 2 more answers
a Baker's going to make 24 blueberry pie she wants to make sure that each by contains 3.5 cups of blueberries how many cups of b
Leokris [45]
She is going to need 84 cups of blueberries. 3.5*24= 84 i believe :)
8 0
3 years ago
You put $200 in a savings account. The account earns 2% simple interest
Black_prince [1.1K]

Answer:

interest total after 5 years is $20.82

Step-by-step explanation:

6 0
3 years ago
Y/-2 = -34<br> giving brain.
podryga [215]

Answer:

y=68

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help picture below problem 13
kirza4 [7]

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *<em>look at the image I attached for a better explanation</em>

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    ?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12

Thus the <u>missing side length is 12 cm</u>

Hope that helps!

8 0
2 years ago
Other questions:
  • Help needed!!! Please
    13·1 answer
  • The sum of the first natural number and 0 is 1, the sum of the first two natural numbers and 0 is 3, the sum of the first three
    13·2 answers
  • Use the drawing tool(s) to form the correct answer on the provided graph.
    13·2 answers
  • David writes down the sequence 2, 6, 10, 14<br><br>he says the sequence is n+4 <br><br>is he correct
    15·2 answers
  • How do i solve for x if (x+1)/(x+1)= 1/2​?
    8·1 answer
  • What is the equation of a line that passes through points K(3, 5) and L(9, 3)?
    13·1 answer
  • 1. In a class of students the ratio of the number of students who like to play football and the number of students who like to p
    7·1 answer
  • Math help help please
    14·2 answers
  • Sin^4a+cos^4a -sin^6a+cos^6a= sin^2a cos^2a
    7·1 answer
  • GEOMETRY The perimeter of a square is four times the length of one side. If the side length of a square is 1 centimeter, then th
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!