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
Leona [35]
1 year ago
9

What is the solution to this matrix equation?[ -1 4 3 2] [x y] = [-26 8] i need to find (x=?) and (y=?)

Mathematics
1 answer:
Ghella [55]1 year ago
5 0

Answer:

x: \frac{26}{3y}

y: \frac{26}{3x}

Part A: Finding X

<u>Simplify the equation.</u>

-4*3*(2xy)=-26*8\\-12*(2xy)=-26*8\\-24*(xy)=-26*8\\-24*xy=-26*8\\-24*xy=-208

<u>Divide terms.</u>

\frac{(-24 * (xy))}{-24y}\\\\Cancel~"-24"\\\\\frac{(-24) * xy}{(-24)y} \\= \boxed{\frac{-208}{-24y}}\\\\\\Cancel~"y"\\\\\frac{x(y)}{(y)} = \boxed{\frac{-208}{-24y} }\\x \div 1 = \frac{-208}{-24y}

<u>Factor -8.</u>

x = \frac{-8(26)}{-24y}(Cancel~"-8")\\x = \frac{26}{3y}

Part B: Finding Y

<u>Simplify.</u>

-4*3*(2xy)=-26*8\\-12*(2xy)=-26*8\\-24*(xy)=-26*8\\-24*xy=-26*8\\-24*xy=-208

<u>Divide.</u>

\frac{(-24*(xy))}{-24x} = \frac{-208}{-24x}\\\\Cancel~"-24"\\= \frac{xy}{x} = \frac{-208}{-24x}\\\\Cancel~"x"\\= \frac{-208}{-24x}

<u>Factor.</u>

y = \frac{-8(26)}{-24x}\\y = \frac{-8(26)}{-8(3x)} (Cancel -8)\\y = \frac{26}{3x}

You might be interested in
Jon and Anne had an equal amount of money. Jon spent $10. Anne spent $30. Now Jon has twice as much money as Anne. How much did
bulgar [2K]
They would have had $50 at the beginning
8 0
3 years ago
Please follow me <br>Type: "Follow KelvinSu From:(your name)"<br>Thank you in advance​
KiRa [710]

Follow KelvinSu From: Thadd

5 0
2 years ago
Read 2 more answers
A training company provides classroom and online instruction to hundreds of people per month. As part of their training program
Lynna [10]

Answer:

According to the sample data, we can claim that the current satisfaction rate is different from last year's.

Step-by-step explanation:

The explanation is in the picture.

3 0
3 years ago
According to the data reported by the new york state department of health regarding west nile virus for the years 2000-2004, the
german
<span>Ans : According to the Equation - 10.2638 + 0.0491x = 10.2638 + 0.0491 X 748 ( Because x= 748, given ) = 10.2638 + 36.72 = 46.99 = 47 (Approximately)</span>
4 0
3 years ago
Which number sentence correctly solves this problem? There were 52,165 people at the soccer game on Friday. There were 49,872 pe
Romashka [77]

Answer: D.


Step-by-step explanation:


52,165 + 49,872 = 102,037


8 0
3 years ago
Other questions:
  • Yuki bought a dress on sale for $72. The sale price was 60% of the original price. What was the original price of the dress?
    15·1 answer
  • A studio apartment has a floor that measures 80 feet by 64 feet. A scale drawing of the floor on grid paper uses a scale of 1 un
    9·1 answer
  • The following price reductions are available
    11·1 answer
  • Y is inversly proportional to x^3 y=28 when x=a work out the value of y when x=2a
    11·1 answer
  • If 3(x -4) = 12, then x = 24. true or false
    8·1 answer
  • Whwat is 2 pwus 1 pweass hellpe itz vary hard
    10·2 answers
  • WHAT IS THE DOMAIN OF f(x)=4^x
    14·2 answers
  • Write an expression for the calculation add 3 and 8 and then multiply by 9
    13·2 answers
  • Given that angle ABC is equal to 10 X +40 and angle DBC is equal to 3X +10 what is the measure of angle ABD
    10·2 answers
  • Five gallons of lemonade cost $8.00 which is rate of ____ per _____
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!