document.write( "Question 1049483: Given: ∠A is comp. to ∠B
\n" ); document.write( "∠C is comp. to ∠B
\n" ); document.write( "∠A = (3x+y)°
\n" ); document.write( "∠B = (x+4y+2)°
\n" ); document.write( "∠C = (3y-3)°
\n" ); document.write( "Find: m∠B\r
\n" ); document.write( "\n" ); document.write( "(comp. = complementary)\r
\n" ); document.write( "\n" ); document.write( "I was thinking that since complementary angles are (90-x) you would figure out what x is by possibly adding angle A angle B and angle C all together and solving... I'm not sure if this is right. Would you use solving systems? I was thinking maybe you would because there's x and y you need to solve for. I am having a hard time understanding this concept.
\n" ); document.write( "

Algebra.Com's Answer #665048 by advanced_Learner(501)\"\" \"About 
You can put this solution on YOUR website!
the \"equations+\" are\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"A%2BB\"=\"90\" eq 1
\n" ); document.write( "\"B%2BC\"=\"90\" eq 2\r
\n" ); document.write( "\n" ); document.write( "\"3x%2By%2Bx%2B4y%2B2\"=\"90\" eq 1
\n" ); document.write( "\"x%2B4y%2B2%2B3y-3\"=\"90\" eq 2\r
\n" ); document.write( "\n" ); document.write( "\"4x%2B5y\"=\"88\" eq 1\r
\n" ); document.write( "\n" ); document.write( "\"x%2B7y\"=\"91\" eq 2\r
\n" ); document.write( "\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++++4%5Cx+%2B+5%5Cy+=+88%2C%0D%0A++++1%5Cx+%2B+7%5Cy+=+91+%29%0D%0A++\"We'll use substitution. After moving 5*y to the right, we get:
\n" ); document.write( " \"4%2Ax+=+88+-+5%2Ay\", or \"x+=+88%2F4+-+5%2Ay%2F4\". Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " \"1%2A%2888%2F4+-+5%2Ay%2F4%29+%2B+7%5Cy+=+91\" and simplify: So, we know that y=12. Since \"x+=+88%2F4+-+5%2Ay%2F4\", x=7.
\n" ); document.write( "
\n" ); document.write( " Answer: \"system%28+x=7%2C+y=12+%29\".
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" );