document.write( "Question 334974: I am 50 yrs old, haven't used algebra since High School and now need it and can't remember what to do to solve the following equations for B and for N:
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document.write( "0.63B + 0.37N = -8.4 and 0.56B + 0.44N = -6.6\r
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document.write( "I know I need to pick one of the equations, determine the equation just for N, and then replace N in the other equation with that formula to solve for B. eg, for the first equation 0.37N = -8.4 - 0.63B, now I am stuck as to how to solve for B? Is it N = (-8.4 - 0.63B)/0.37? How do I perform the calculation to solve for B? \n" );
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Algebra.Com's Answer #240051 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! 0.63B + 0.37N = -8.4 (equation 1) \n" ); document.write( "0.56B + 0.44N = -6.6 (equation 2) \n" ); document.write( ". \n" ); document.write( "Solving equation 1 for N: \n" ); document.write( "0.63B + 0.37N = -8.4 \n" ); document.write( "0.37N = -0.63B-8.4 \n" ); document.write( "Divide both sides by 0.37: \n" ); document.write( "N = (-0.63B-8.4)/0.37 \n" ); document.write( ". \n" ); document.write( "Substitute the above into equation 2 and solve for B: \n" ); document.write( "0.56B + 0.44N = -6.6 \n" ); document.write( "0.56B + 0.44(-0.63B-8.4)/0.37 = -6.6 \n" ); document.write( "0.56B + 1.189(-0.63B-8.4) = -6.6 \n" ); document.write( "0.56B - 0.75B - 9.99 = -6.6 \n" ); document.write( "-0.19B - 9.99 = -6.6 \n" ); document.write( "-0.19B = 3.39 \n" ); document.write( "B = -17.84 \n" ); document.write( ". \n" ); document.write( "Substitute the above into equation 1 and solve for N: \n" ); document.write( "0.63B + 0.37N = -8.4 \n" ); document.write( "0.63(-17.84) + 0.37N = -8.4 \n" ); document.write( "0.63(-17.84) + 0.37N = -8.4 \n" ); document.write( "-11.24 + 0.37N = -8.4 \n" ); document.write( "0.37N = 2.84 \n" ); document.write( "N = 7.68 \n" ); document.write( " \n" ); document.write( " |