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Allushta [10]
3 years ago
11

The sum of two angles is 90°. The difference of twice the larger angle and the smaller angle is 105º. The system of linear equat

ions:
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)
Mathematics
2 answers:
denpristay [2]3 years ago
4 0

Answer:

  • x = 65, y = 25

Step-by-step explanation:

<u>Given system of linear equations:</u>

  • x + y = 90
  • 2x - y = 105

<u>Add up the equations to eliminate y:</u>

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

<u>Find y:</u>

  • y + 65 = 90
  • y = 90 - 65
  • y = 25
monitta3 years ago
4 0

Answer:

x = 65 and y = 25

Step-by-step explanation:

x + y = 90 ------ 1

2x - y = 105 ------2

Solving by using elimination method,

x + y = 90

2x - y = 105

-----------------

3x = 195

x = 65

Thus, y = 90 - x

y = 90 - 65

y = 25

<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

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