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)

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