document.write( "Question 155406This question is from textbook Elementary and Intermediate Algebra
\n" );
document.write( ": This is the addition method, you have to multiply before you add to get the solution set. \r
\n" );
document.write( "\n" );
document.write( "I thought that the first problem was set up as 1(x+y)=(48)1 then I got lost???\r
\n" );
document.write( "\n" );
document.write( "x+y=48
\n" );
document.write( "12x+14y=628 \n" );
document.write( "
Algebra.Com's Answer #114447 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! If you started with: \n" ); document.write( " x + y = 48 \n" ); document.write( "12x + 14y = 628 \n" ); document.write( ". \n" ); document.write( "Start by reordering: \n" ); document.write( "12x + 14y = 628 \n" ); document.write( " x + y = 48 \n" ); document.write( ". \n" ); document.write( "Now, multiply both sides of the second equation by -12: \n" ); document.write( " 12x + 14y = 628 \n" ); document.write( "-12(x + y) = -12(48) \n" ); document.write( ". \n" ); document.write( " 12x + 14y = 628 \n" ); document.write( " -12x + (-12y) = -576 \n" ); document.write( ". \n" ); document.write( "Now, we're ready to combine equation 1 with equation 2: \n" ); document.write( " 12x + 14y = 628 \n" ); document.write( " -12x + (-12y) = -576 \n" ); document.write( "----------------------- \n" ); document.write( " 2y = 52 \n" ); document.write( " y = 26 (solution for y) \n" ); document.write( ". \n" ); document.write( "Use the above definition of y and plug it back into: \n" ); document.write( " x + y = 48 \n" ); document.write( "to solve for 'x'. \n" ); document.write( ". \n" ); document.write( " x + y = 48 \n" ); document.write( " x + 26 = 48 \n" ); document.write( " x = 48-26 \n" ); document.write( " x = 22 (solution for x) \n" ); document.write( " |