rebeccawake26 rebeccawake26
  • 15-03-2022
  • Mathematics
contestada

What is the solution to the system of linear equations?

2x + y = 7

x - 2y = 16

Respuesta :

Brainlii Brainlii
  • 16-03-2022

Answer:

Step-by-step explanation:

  1. Reform the first equation: y = 7 - 2x; y = -2x + 7
  2. Reform the second equation: -2y = -x + 16; y = 0.5x + 8
  3. Equate: -2x + 7 = 0.5x + 8; -4x + 14 = x + 16; -3x + 14 = 16; -3x = 2; x = -[tex]\frac{2}{3}[/tex]
  4. Calculate y: y = -2 * - 2/3 + 7 = 4/3 + 7; y = [tex]\frac{25}{3}[/tex]
  5. Define S([tex]-\frac{2}{3} ; \frac{25}{3}[/tex])
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