document.write( "Question 1143520: Hello! I need help with this equation.\r
\n" );
document.write( "\n" );
document.write( "Find a value for a so that the solution of the system is (6, - 1)
\n" );
document.write( "y = 2/3x - 5\r
\n" );
document.write( "\n" );
document.write( "y = ax + 5\r
\n" );
document.write( "\n" );
document.write( "Thanks! \n" );
document.write( "
Algebra.Com's Answer #764332 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Take the second equation y = ax + 5 and substitute x= 6, y= -1 into it.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -1 = a*6 + 5.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It implies\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " -1 - 5 = 6a\r\n" ); document.write( "\r\n" ); document.write( " -6 = 6a\r\n" ); document.write( "\r\n" ); document.write( " a =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The last step is to check if the solution is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do it on your own by substituting x= 6, y= -1 into each of the two original equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |