document.write( "Question 102599: The sum of two numbers is 70. The second is 1 more than 2 times the first. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #74606 by mjgulinello(10)![]() ![]() ![]() You can put this solution on YOUR website! Let M = the first number. \n" ); document.write( "Let N = the second number. \n" ); document.write( "We know the sum is 70, so \n" ); document.write( " \n" ); document.write( "We also know the second number is 1 more than 2 times the first number, which we can express as \n" ); document.write( " \n" ); document.write( "Now use substitution and plug the second equation into the first. \n" ); document.write( " \n" ); document.write( "Combine like terms \n" ); document.write( " \n" ); document.write( "Subtract 1 from each side \n" ); document.write( " \n" ); document.write( "Divide each side by 3 \n" ); document.write( " \n" ); document.write( "Now we can plus this into the second equation. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "The two numbers are 23 and 47. \n" ); document.write( "We can check this by plugging the numbers back into the first equation. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Check. \n" ); document.write( "That's all for this problem. \n" ); document.write( " \n" ); document.write( " |