SOLUTION: Find the angles when the larger angle is 6 degrees more than 2times the smaller on a complementary angle

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Question 941097: Find the angles when the larger angle is 6 degrees more than 2times the smaller on a complementary angle
Answer by laoman(51) About Me  (Show Source):
You can put this solution on YOUR website!
Two angles are complimentary if they sum up to 90 degrees
let the smaller angle be x and larger angle be y
From the first statement, y = 2*x + 6
Cause they are compliments, x + y = 90
Solving the systems of equation
2x - y = -6
x + y =90
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+90%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+-6+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+90+-+1%2Ay, or x+=+90%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
2%2A%2890%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+-6 and simplify: So, we know that y=62. Since x+=+90%2F1+-+1%2Ay%2F1, x=28.

Answer: system%28+x=28%2C+y=62+%29.