document.write( "Question 913388: Hi please help me with this problem: If line segment BC bisects angle ABD and angle ABD=106 degrees, find x and y.\r
\n" ); document.write( "\n" ); document.write( "angle ABC=(5x-y)
\n" ); document.write( "angle CBD=(4x+2y+19) \n" ); document.write( "
Algebra.Com's Answer #554478 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
If line segment BC bisects angle ABD and angle ABD=106 degrees, find x and y.
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\n" ); document.write( "angle ABC=(5x-y) = 53 degree
\n" ); document.write( " angle CBD=(4x+2y+19) = 53 degree
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\n" ); document.write( "5x - y = 53
\n" ); document.write( "4x + 2y = 34
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\n" ); document.write( "Modify for elimination:
\n" ); document.write( "5x - y = 53
\n" ); document.write( "2x + y = 17
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\n" ); document.write( "7x = 70
\n" ); document.write( "x = 10
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\n" ); document.write( "Solve for \"y\"::
\n" ); document.write( "5x - y = 53
\n" ); document.write( "y = 5x - 53
\n" ); document.write( "y = 50 - 53
\n" ); document.write( "y = -3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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