document.write( "Question 773076: solve the systems of equations using addition to elimiate one variable. if the system has no solution,indicate that it is inconsistent;if it has infinate solutions,indicate that it is dependent;if the system has one soulution,check your answer. \r
\n" );
document.write( "\n" );
document.write( "5. -y=2x 3x+y=20 \r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "6. 4x+2y=6 2x+y=3\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "please i really need help, if i can get this to problems done i can graduate. im not sure how do do theses problems please and thank you for your help. \n" );
document.write( "
Algebra.Com's Answer #471373 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 5. \n" ); document.write( " -y = 2x \n" ); document.write( " 3x + y = 20 \n" ); document.write( "rearrange the 1st equation so we have: \n" ); document.write( "2x + y = 0 \n" ); document.write( "Subtract this from the 2nd equation \n" ); document.write( "3x + y = 20 \n" ); document.write( "2x + y = 0 \n" ); document.write( "--------------Subtracting eliminates y find x \n" ); document.write( "x = 20 \n" ); document.write( "find y using the 1st equation (rearranged) \n" ); document.write( "2x + y = 0 \n" ); document.write( "Replace x with 20 \n" ); document.write( "2(20) + y = 0 \n" ); document.write( "40 + y = 0 \n" ); document.write( "Subtract 40 from both sides \n" ); document.write( "y = -40 \n" ); document.write( "It has one solution \n" ); document.write( ": \n" ); document.write( "Check this in the 2nd equation \n" ); document.write( "3x + y = 20 \n" ); document.write( "Replace x and y \n" ); document.write( "3(20) - 40 = 20; confirms our solutions of x=20; y=-40 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "6. \n" ); document.write( " 4x + 2y = 6 \n" ); document.write( " 2x + y = 3 \n" ); document.write( "these are the same equation, if you mult the 2nd eq by 2 you get the 1st eq \n" ); document.write( "therefore it has infinite solutions \n" ); document.write( " |