document.write( "Question 1193943: find 2 numbers such that the sum of the first and 3 times the second is 5 and the sum of second and two times the first is 8
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Algebra.Com's Answer #826003 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! find 2 numbers such that the sum of the first and 3 times the second is 5 \n" ); document.write( "a + 3b = 5 \n" ); document.write( " and the sum of second and two times the first is 8 \n" ); document.write( "2a + b = 8 \n" ); document.write( ": \n" ); document.write( "multiply the 1st equation by 2, subtract from the 2nd equation \n" ); document.write( "2a + 6b = 10 \n" ); document.write( "2a + b = 8 \n" ); document.write( "---------------Subtraction eliminates a, find b \n" ); document.write( "0 + 5b = 2 \n" ); document.write( "b = 2/5 or .4 is the 2nd number \n" ); document.write( ": \n" ); document.write( "Find a using the 1st original equation \n" ); document.write( "a + 3(.4) = 5 \n" ); document.write( "a + 1.2 = 5 \n" ); document.write( "a = 5 - 1.2 \n" ); document.write( "a = 3.8 is the 1st number \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check in the 2nd equation \n" ); document.write( "2(3.8) + .4 = 8 \n" ); document.write( "7.6 + .5 = 8 \n" ); document.write( " |