Question

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)

Answer 1

• x = 65, y = 25

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