Let X be the larger angle and Y the smaller. Your system of two equations is:
X + Y = 90 (degrees)
X = 6Y - 1
7Y - 1 = 90
7Y = 91
Y = 13
X = 90 - 13 = 77
Two angles are complemtary. The large angle is 1 less than 6 times the smaller angle. which system could be used to determine the larger angle X and the smaller angle Y?
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