document.write( "Question 549117: 2)The lager of two numbers is 1 more than 3 times the smaller. The difference between 8 times the smaller and 2 times the lager is 10. Find the numbers \n" ); document.write( "
Algebra.Com's Answer #357486 by stanbon(75887) ![]() You can put this solution on YOUR website! Let larger be \"y\" \n" ); document.write( "Let smaller be \"x\" \n" ); document.write( "----------------------------- \n" ); document.write( "The larger of two numbers is 1 more than 3 times the smaller. The difference between 8 times the smaller and 2 times the larger is 10. Find the numbers \n" ); document.write( "--- \n" ); document.write( "Equations: \n" ); document.write( "y = 3x + 1 \n" ); document.write( "8x - 2y = 10 \n" ); document.write( "------------------- \n" ); document.write( "Substitute for \"y\" and solve for \"x\": \n" ); document.write( "8x - 2(3x+1) = 10 \n" ); document.write( "8x - 6x-2 = 10 \n" ); document.write( "2x = 12 \n" ); document.write( "x = 6 \n" ); document.write( "---- \n" ); document.write( "Solve for \"y\": \n" ); document.write( "y = 3x+1 \n" ); document.write( "y = 3*6+1 \n" ); document.write( "y = 19 \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |