document.write( "Question 1122737: please help with this problem (500x+100y=325) (400x+150y=304) \n" ); document.write( "
Algebra.Com's Answer #738905 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! (500x+100y=325) \n" ); document.write( " (400x+150y=304) \n" ); document.write( "Simplify each equation so we can use elimination \n" ); document.write( "divide the 2nd equation by 40 and the 1st equation by 50 \n" ); document.write( "10x + 3.75y = 7.6 \n" ); document.write( "10x + 2.0y = 6.5 \n" ); document.write( "-------------------subtraction eliminates x, find y \n" ); document.write( "0 + 1.75y = 1.1 \n" ); document.write( "y = 1.1/1.75 \n" ); document.write( "y = .62857 \n" ); document.write( "Use the first equation to find x \n" ); document.write( "500x = 100(.62857) = 325 \n" ); document.write( "500x = 325 - 62.857 \n" ); document.write( "500x = 262.143 \n" ); document.write( "x = 262.143/500 \n" ); document.write( "x = .52429 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out in the 2nd equation \n" ); document.write( "400(.52429) + 150(.62857) = \n" ); document.write( "209.7144 + 94.2855 = 303.9999 ~ 304 \n" ); document.write( " |