document.write( "Question 227055: triangle yzx given has 3 congruent angles 60 degrees top leg = 8. another leg = 3x-y, last leg is x + 3y + 2. find x and y. This is section 4.4 masters level b p.71 using triangle congruence holt 2004 problem 5. I have the answer which is x = 3 y = 1 but have no idea how they get there and I have to teach my son. Thanks for any help in understanding its been 30 something years. \n" ); document.write( "
Algebra.Com's Answer #168855 by scott8148(6628)![]() ![]() You can put this solution on YOUR website! the triangle has three equal angles, so it also has three equal sides\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 = 3x + y = x + 3y + 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x + y = 8 ___ y = 8 - 3x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 3y + 2 = 8 ___ x + 3y = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting ___ x + 3(8 - 3x) = 6 ___ x + 24 - 9x = 6 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24 - 8x = 6 ___ 18 = 8x ___ 9/4 = x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substituting ___ y = 8 - 3(9/4) = 5/4 \n" ); document.write( " |