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
alexandr402 [8]
2 years ago
10

Using Cramer's rule to solve linear systems.

Mathematics
1 answer:
Rzqust [24]2 years ago
4 0

Answer: Last Option

x=2,\ y=-5

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

x =\frac{Det(A_X)}{Det(A)}

y =\frac{Det(A_Y)}{Det(A)}

For this problem we know that:

Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|

Solving we have:

|A|= 4*(-2) -(-6)*8\\\\|A|=40

Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|

Solving we have:

|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80

Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|

Solving we have:

|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200

Finally

x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2

y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5

You might be interested in
A rectangle with a perimeter of 19m^2+2m-10 and a width of m^2 write an expression for the lenght
expeople1 [14]

Answer:

8.5m^{2}+ m -5

Step-by-step explanation:

Since perimeter, P=19m^{2}+ 2m -10 and we know that P=2(l+w) then P=2(l+m^{2})=2l+2m^{2}

The length will be 2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10

Now l=8.5m^{2}+ m -5

6 0
3 years ago
A sum of money was to be divided among A,B, and C in the ratio 2:3:5. The largest share amount to $4500 what is the total amount
Alika [10]

Answer:

2:3:5 = 480:720:1200

(a) 480+720+1200

(b) 480

(c) 720/(a)

Step-by-step explanation:

8 0
1 year ago
If three times a number is increased by 4, the results is -8. find the number
skad [1K]

Answer: -4

Step-by-step explanation:

3x + 4 = -8

3x= -12

x = -4

<!> Brainliest is appreciated! <!>

6 0
3 years ago
Read 2 more answers
Heather brought $7.14 to school. She then spent $1.08 to buy lunch. How much money does she have left?
Wewaii [24]

Answer:

6.06

Step-by-step explanation:

Simple subtraction.

5 0
3 years ago
Read 2 more answers
The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
sashaice [31]

Answer:

35 inches

L×W=A

length×width=area

4 0
3 years ago
Read 2 more answers
Other questions:
  • Write an expression for the calculation 5 times the number 29 and 14 minus 11
    10·1 answer
  • Please help!!
    14·1 answer
  • Which two numbers are solutions of 2n - 15≤ = -3 <br><br> ×║thank you║×
    11·2 answers
  • What is f(5) for f(x)=4x^2-5x+2?<br> A)-24<br> B)77<br> C)127<br> D)150
    9·2 answers
  • Increase 12 1/2 cm by 25 mm
    7·1 answer
  • Brooklyn Bridge is 5,985 ft long and 85 ft wide. What distance is one sixth of its length
    13·1 answer
  • Events A and B are mutually exclusive. Events B and C are non-mutually exclusive. Which Venn diagram could represent this descri
    10·2 answers
  • Find the surface area! correct gets brainliest!
    8·1 answer
  • Laquita had 5 7/9 yards of fabric. She used 3 2/3 to make a blouse.Write and slove an expresstion to find how much fabric has be
    10·1 answer
  • Exponential Growth/Decay <br> Plz help!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!