document.write( "Question 200850: If 4a+3b=27 and 3a+4b=29, then 7a+7b/2=? \n" ); document.write( "
Algebra.Com's Answer #151075 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! (1) 4a +3b =27 \n" ); document.write( "(2) 3a +4b = 29 \n" ); document.write( ". \n" ); document.write( "multiply (1) by 3,,,,and (2) by 4 \n" ); document.write( ". \n" ); document.write( "(3) 12a +9b = 81 \n" ); document.write( "(4) 12a +16b = 116 \n" ); document.write( ". \n" ); document.write( "(4) - (3) \n" ); document.write( "7b = 35 \n" ); document.write( "b=5 \n" ); document.write( ". \n" ); document.write( "subst into (1) \n" ); document.write( "4a +3(5) = 27 \n" ); document.write( "4a =12 \n" ); document.write( "a=3 \n" ); document.write( ". \n" ); document.write( "check \n" ); document.write( "(1) 4(3) +3(5) = 27,,,,,12 +15 =27 ,,,,,,ok \n" ); document.write( "(2) 3(3) +4(5) =29,,,,9+20=29,,,,,,,ok \n" ); document.write( ". \n" ); document.write( "subst into 7a + 7b/2 = 7(3) +7(5) /2 = 21 + 35/2 = 38.5 \n" ); document.write( ". \n" ); document.write( "or subst (7a +7b )/2 = (7*3 +7*5)/2= 56 /2 =28 \n" ); document.write( " |