document.write( "Question 941097: Find the angles when the larger angle is 6 degrees more than 2times the smaller on a complementary angle \n" ); document.write( "

Algebra.Com's Answer #573688 by laoman(51) $\"\"$ $\"About$

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Two angles are complimentary if they sum up to 90 degrees\r
\n" ); document.write( "\n" ); document.write( "let the smaller angle be x and larger angle be y
\n" ); document.write( "From the first statement, y = 2*x + 6
\n" ); document.write( "Cause they are compliments, x + y = 90\r
\n" ); document.write( "\n" ); document.write( "Solving the systems of equation
\n" ); document.write( "2x - y = -6
\n" ); document.write( "x + y =90
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+90%2C%0D%0A++++2%5Cx+%2B+-1%5Cy+=+-6+%29%0D%0A++\"$ We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " $\"1%2Ax+=+90+-+1%2Ay\"$ , or $\"x+=+90%2F1+-+1%2Ay%2F1\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"2%2A%2890%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+-6\"$ and simplify: So, we know that y=62. Since $\"x+=+90%2F1+-+1%2Ay%2F1\"$ , x=28.
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\n" ); document.write( " Answer: $\"system%28+x=28%2C+y=62+%29\"$ .
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