bri426183 bri426183
  • 12-11-2020
  • Mathematics
contestada

Solve the system by finding the determinants and using Cramer's Rule:
2x - y = 4
3x + y = 1

Respuesta :

xenia168
xenia168 xenia168
  • 12-11-2020

Answer:

(1, - 2)

Step-by-step explanation:

2x - y = 4

3x + y = 1

A = [tex]\left[\begin{array}{cc}2&-1\\3&1\end{array}\right][/tex] = 2(1) - 3( - 1) =2 + 3 = 5

[tex]A_{x}[/tex] = [tex]\left[\begin{array}{cc}4&-1\\1&1\end{array}\right][/tex] = 4(1) - 1(- 1) = 4 + 1 = 5

[tex]A_{y}[/tex] = [tex]\left[\begin{array}{cc}2&4\\3&1\end{array}\right][/tex] = 2(1) - 4(3) = 2 - 12 = - 10

x = [tex]\frac{A_{x} }{A}[/tex] = 1

y = [tex]\frac{A_{y} }{A}[/tex] = - 2

(1, - 2)

Answer Link

Otras preguntas

A model rocket is launched with an initial upward velocity of 54 m/s. The rocket's height h (in meters) after t seconds is given by the following.
What does internal and external conflict mean?
write a letter about brother/sister suggest not to eat junk food​
Please answer!!! Number 3-6 !!! Use the examples they have at the top to answer! Has to be that method
A bag contains only red and blue marbles. Yasmine takes one marble at random from the bag. The probability that she takes a red marble is 1 in 5. Yasmine return
SAT Math Question: If a ^2+b^2=258, what is the value of (a+b)^2+(a-b)^2?? Please explain how you arrived at your answer. Thank you!
Find the geometric mean of 9 and 12.
explain why hot air goes up
Please answer the attached question by selecting of the the given answers.
SAT Math Question: If a ^2+b^2=258, what is the value of (a+b)^2+(a-b)^2?? Please explain how you arrived at your answer. Thank you!