document.write( "Question 129885: Three times an even interger is two less than 4 times the next lower even integer. Find the interger ? \n" ); document.write( "
Algebra.Com's Answer #94857 by Dalmo(2)![]() ![]() ![]() You can put this solution on YOUR website! Word problems can be very confusing at times, so pay close attention. Obviously, the person who answered before me made a mistake. It's very important to read every word. \n" ); document.write( "- \n" ); document.write( "Three times an even interger is two less than 4 times the next lower even integer. Find the interger ? \n" ); document.write( "- \n" ); document.write( "Let's call the even integer x. \n" ); document.write( "So we have three times that, or 3x \n" ); document.write( "- \n" ); document.write( "That is equal to: \n" ); document.write( "Two less than ..., or ...-2 \n" ); document.write( "Four times..., so far 4(...)-2 \n" ); document.write( "The next lower even integer, so finally 4(x-2)-2 \n" ); document.write( "- \n" ); document.write( "So this is the equation we get. \n" ); document.write( "3x = 4(x-2)-2 \n" ); document.write( "3x = 4x -8 -2 (Distribute the 4) \n" ); document.write( "3x = 4x -10 (Simplify) \n" ); document.write( "-1x= -10 (Subtract 4x from both sides) \n" ); document.write( " x = 10 (Divide by -1) \n" ); document.write( "- \n" ); document.write( "Proof: \n" ); document.write( "3(10)= 4(10-2) -2 \n" ); document.write( " 30 = 4(8) -2 \n" ); document.write( " 30 = 32 -2 \n" ); document.write( " 30 = 30 (True) \n" ); document.write( "- \n" ); document.write( "I hope that helps! \n" ); document.write( "- \n" ); document.write( "For more help, go to www.ziizoo.com/ref/dalmo \n" ); document.write( "- \n" ); document.write( "Get 30 minutes with any professional tutor for FREE. \n" ); document.write( "- \n" ); document.write( "I'll see you there \n" ); document.write( "- \n" ); document.write( "Dalmo \n" ); document.write( " |