document.write( "Question 64049: 3x + 4y = 12 (0, ),( ,3/4),( ,0),(8/3, ) \n" ); document.write( "
Algebra.Com's Answer #44735 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! 3x + 4y = 12 (0, ),( ,3/4),( ,0),(8/3, ) \n" ); document.write( "Ordered pairs are in this order (x,y) \n" ); document.write( "For (0, ), let x=0 and solve for y. \n" ); document.write( "3(0)+4y=12 \n" ); document.write( "0+4y=12 \n" ); document.write( "4y=12 \n" ); document.write( "4y/4=12/4 \n" ); document.write( "y=3 \n" ); document.write( "Therefore, (x,y)=(0,3) \n" ); document.write( ": \n" ); document.write( "For ( ,3/4), let y=3/4 and solve for x. \n" ); document.write( "3x+4(3/4)=12 \n" ); document.write( "3x+12/4=12 \n" ); document.write( "3x+3=12 \n" ); document.write( "3x+3-3=12-3 \n" ); document.write( "3x=9 \n" ); document.write( "3x/3=9/3 \n" ); document.write( "x=3 \n" ); document.write( "Therefore, (x,y)=(3,3/4) \n" ); document.write( ": \n" ); document.write( "For ( ,0), let y=0 and solve for x. \n" ); document.write( "3x+4(0)=12 \n" ); document.write( "3x+0=12 \n" ); document.write( "3x=12 \n" ); document.write( "3x/3=12/3 \n" ); document.write( "x=4 \n" ); document.write( "Therefore, (x,y)=(4,0) \n" ); document.write( ": \n" ); document.write( "For (8/3, ), let x=8/3 and solve for y. \n" ); document.write( "3(8/3)+4y=12 \n" ); document.write( "24/3+4y=12 \n" ); document.write( "8+4y=12 \n" ); document.write( "8-8+4y=12-8 \n" ); document.write( "4y=4 \n" ); document.write( "4y/4=4/4 \n" ); document.write( "y=1 \n" ); document.write( "Therefore, (x,y)=(8/3,1) \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |