document.write( "Question 57773: Y=2/3x and Y=-2/7x+4/7\r
\n" );
document.write( "\n" );
document.write( "I am not even sure how to set this up. Do I need to have the y-intercept for the first system of equation befor I can solve? Can you please help me set this problem up? Thanks for your help! \n" );
document.write( "
Algebra.Com's Answer #39542 by phillv(13)![]() ![]() ![]() You can put this solution on YOUR website! You do not need the Y intercept. \n" ); document.write( "Just substitute 2/3x for Y in the second equation. \n" ); document.write( "This gives us 2/3x=-2/7x+4/7 \n" ); document.write( "2/3x=(4-2x)/7 \n" ); document.write( "multiply both sides by 7 \n" ); document.write( "14/3x=4-2x \n" ); document.write( "multiply both sides by 3 \n" ); document.write( "14x=12-6x \n" ); document.write( "simplify \n" ); document.write( "20x=12 \n" ); document.write( "x=12/20=3/5 \n" ); document.write( "x=3/5 \n" ); document.write( "substitute 3/5 for x in either of the original equations \n" ); document.write( "Y=(2/3)(3/5) \n" ); document.write( "Y=2/5 \n" ); document.write( "X=3/5 and Y=2/5 will satisfy both equations. \n" ); document.write( " |