document.write( "Question 255640: If you have a parallelogram with two lines bisecting. with m+9.1 on one half of the bisector and 4k-3.5 on the other side. and on the other line there is 2.6k and m. How do you solve this without having to deal with 2 variables? \n" ); document.write( "
Algebra.Com's Answer #187873 by richwmiller(17219) You can put this solution on YOUR website! Let's look at what we know before we panic. \n" ); document.write( "Since the line bisects it creates two equal parts. \n" ); document.write( "m+9.1=4k-3.5 \n" ); document.write( "oh no we have one equation with two variables. \n" ); document.write( "Stay calm; we aren't finished yet. \n" ); document.write( "2.6k=m \n" ); document.write( "Oh now we have two equations with two variables. So we can solve the two equations and find out where they intersect. \n" ); document.write( "Well, look at that m=2.6k \n" ); document.write( "We can substitute 2.6k for m in the first equation. \n" ); document.write( "2.6k+9.1=4k-3.5 \n" ); document.write( "We now have one equation with one variable. \n" ); document.write( "Panic attack avoided. \n" ); document.write( "k=9 \n" ); document.write( "2.6k=m \n" ); document.write( "2.6*(9)=m \n" ); document.write( "23.4 = m \n" ); document.write( "We can check. \n" ); document.write( "23.4+9.1=4(9)-3.5 \n" ); document.write( "32.5=32.5 \n" ); document.write( "ok\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |