document.write( "Question 631509: b is the midpoint of ac. if ab = 2x + 4 and BC = 3x + 6, find AC answer \n" ); document.write( "
Algebra.Com's Answer #397697 by girl_from_moscow(7)![]() ![]() You can put this solution on YOUR website! b is the midpoint of ac. if ab = 2x + 4 and BC = 3x + 6, find AC answer\r \n" ); document.write( "\n" ); document.write( "allright, so all we need is a bit of logic thinking.\r \n" ); document.write( "\n" ); document.write( "if B is the midpoint of AC then it means that point B divides AB and BC in equal halves. \r \n" ); document.write( "\n" ); document.write( "so this now tells us that AB and BC are equal.\r \n" ); document.write( "\n" ); document.write( "since you know point AB and BC you can easily find AC by setting up and equation.\r \n" ); document.write( "\n" ); document.write( "2x+4=3x+6\r \n" ); document.write( "\n" ); document.write( "2x-3x=6-4\r \n" ); document.write( "\n" ); document.write( "-x=2\r \n" ); document.write( "\n" ); document.write( "x=-2\r \n" ); document.write( "\n" ); document.write( "now that you found x, you can substitute into the equation to find the value.\r \n" ); document.write( "\n" ); document.write( "2(-2)+4=0 so AB=0 \n" ); document.write( "2(-2)-3(-2)=2 so BC=2\r \n" ); document.write( "\n" ); document.write( "OOPS! you notice that AB and BC are different.\r \n" ); document.write( "\n" ); document.write( "so the final answer is that there is NO SOLUTION.\r \n" ); document.write( "\n" ); document.write( "ANSWER: no solution\r \n" ); document.write( "\n" ); document.write( "hope this helps you))) \n" ); document.write( " |