document.write( "Question 531520: how do you solve 10a-37=6a+51 \n" ); document.write( "
Algebra.Com's Answer #350481 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! You have to remember to do the same thing to both sides of the equation, whatever that might be. \n" ); document.write( ". \n" ); document.write( "10a-37=6a+51 \n" ); document.write( ". \n" ); document.write( "Subtract 6a from both sides. That will cancel the 6a on the right side, so that all 'a' terms are on the left side. \n" ); document.write( ". \n" ); document.write( "4a -37 = 51 \n" ); document.write( ". \n" ); document.write( "Add 37 to both sides. That will cancel the -37 on the left. \n" ); document.write( ". \n" ); document.write( "4a = 88 \n" ); document.write( ". \n" ); document.write( "Divide both sides by 4. That will eliminate the coefficient on 'a'. \n" ); document.write( ". \n" ); document.write( "a = 22 \n" ); document.write( ". \n" ); document.write( "Always check the solution to make sure it is the correct answer. \n" ); document.write( "Substitute 22 for 'a' and check the values. \n" ); document.write( ". \n" ); document.write( "10*22 -37 = 220 -37 = 183 \n" ); document.write( "6*22 + 51 = 132 + 51 = 183 \n" ); document.write( "183 = 183 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: a = 22 \n" ); document.write( ". \n" ); document.write( "P.S. In the old days, teachers talked about \"moving\" factors from one side of the equation to the other. After years of confusion and frustration, I ran into a math teacher who explained that you have to do the same time to both sides. You cannot just \"move\" anything from one side to the other. \n" ); document.write( " |