document.write( "Question 1077896: Define your variables, write a system of equations, solve and answer the question.\r
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document.write( "One number is 4 less than a second number. Twice the second number is 38 more than 4 times the first. Find the two numbers. \n" );
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Algebra.Com's Answer #692442 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! let a = one number \n" ); document.write( "let b = a second numer \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement \n" ); document.write( ": \n" ); document.write( "\"One number is 4 less than a second number.\" \n" ); document.write( "a = b - 4 \n" ); document.write( " Twice the second number is 38 more than 4 times the first. \n" ); document.write( "2b = 4a + 38 \n" ); document.write( "From the 1st statement; replace a with (b-4) \n" ); document.write( "2b = 4(b-4) + 38 \n" ); document.write( "distribute the 4 \n" ); document.write( "2b = 4b - 16 + 38 \n" ); document.write( "2b = 4b + 22 \n" ); document.write( "subtract 4b from both sides \n" ); document.write( "2b - 4b = 22 \n" ); document.write( "-2b = 22 \n" ); document.write( "divide both sides by -2 \n" ); document.write( "b = 22/-2 \n" ); document.write( "b = -11 is the second number \n" ); document.write( "then \n" ); document.write( "a = -11 -4 \n" ); document.write( "a = -15 is the first number \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this solution in the 2nd statement \n" ); document.write( "\" Twice the second number is 38 more than 4 times the first.\" \n" ); document.write( "2(-11) = 4(-15) + 38 \n" ); document.write( "-22 = -60 + 38\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |