headedgolf headedgolf
  • 21-11-2019
  • Mathematics
contestada

-9.3x+8.6y=45.1
7.1x+1.7y=-17.9
What is x and y?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 27-11-2019

Answer:

  (x, y) = (-3, 2)

Step-by-step explanation:

For equations that involve tedious math, I like to let a graphing calculator do it. The solution is ...

  (x, y) = (-3, 2)

_____

Fully equivalent to solution by elimination is the use of Cramer's rule. It tells you ...

  Δ = (-9.3)(1.7) -(7.1)(8.6) = -76.87

  x = ((45.1)(1.7) -(-17.9)(8.6)) / Δ = 230.61/-76.87 = -3

  y = ((-9.3)(-17.9) -(7.1)(45.1)) / Δ = -153.74/-76.87 = 2

The solution is (x, y) = (-3, 2).

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