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alex41 [277]
2 years ago
11

What is the solution to the system of linear equations? 2x + y = 7 x - 2y = 16

Mathematics
1 answer:
EastWind [94]2 years ago
4 0

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 = -\frac{2}{3}
  4. Calculate y: y = -2 * - 2/3 + 7 = 4/3 + 7; y = \frac{25}{3}
  5. Define S(-\frac{2}{3} ; \frac{25}{3})
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