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The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equations:
x + y = 90
2x - y = 105
represents this situation where x is the larger angle and y is the smaller angle. Find the measures of the two angles.
SHOW YOUR WORK!!​
(this is linear combinations)

Respuesta :

mhanifa

Answer:

  • x = 65, y = 25

Step-by-step explanation:

Given system of linear equations:

  • x + y = 90
  • 2x - y = 105

Add up the equations to eliminate y:

  • x + 2x = 90 + 105
  • 3x = 195
  • x = 65

Find y:

  • y + 65 = 90
  • y = 90 - 65
  • y = 25

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