document.write( "Question 110541: I am given that there is a equiangular triangle ABC. Side AB is 17 units, side BC is 5x-y and side AC is 7x+2y. I need to write my answer in standard form of Ax+By=C but do not have to solve. \r
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document.write( " I just dont understand how to do this when x & y are together. Thanks. \n" );
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Algebra.Com's Answer #80568 by bucky(2189) ![]() You can put this solution on YOUR website! One of the things that will help you here is to recognize that an equiangular triangle \n" ); document.write( "(all three angles are equal and therefore are 180/3 = 60 degrees) is also an equilateral \n" ); document.write( "triangle (all sides equal). \n" ); document.write( ". \n" ); document.write( "Since you are told that side AB is 17 units, you know then that side BC and side AC are each \n" ); document.write( "17 units long also. \n" ); document.write( ". \n" ); document.write( "You are told that side BC is 5x - y and you know that it is also 17 units long. Therefore, \n" ); document.write( "for side BC you can write: \n" ); document.write( ". \n" ); document.write( "5x - y = 17 \n" ); document.write( ". \n" ); document.write( "Next you are told that side AC is 7x + 2y and you know that it is also is 17 units long. \n" ); document.write( "Therefore, for side AC you can write: \n" ); document.write( ". \n" ); document.write( "7x + 2y = 17 \n" ); document.write( ". \n" ); document.write( "So for this triangle you now have two equations: \n" ); document.write( ". \n" ); document.write( "5x - y = 17 <==== for side BC ... and \n" ); document.write( "7x + 2y = 17 <=== for side AC \n" ); document.write( ". \n" ); document.write( "These are the two equations you are looking for. Since you have two linear equations \n" ); document.write( "with two unknowns, assuming that they are independent, you could solve for x and y. \n" ); document.write( "In case you try it, the answers are x = 3 and y = -2. If you substitute these two values \n" ); document.write( "into the left side of the equations for BC and AC you should find that the left sides of \n" ); document.write( "these two equations actually does equal 17. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem a little better. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |