document.write( "Question 982010: 4x-y=5 4x+4y=-4 solve the linear system using subtraction \n" ); document.write( "
Algebra.Com's Answer #602882 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "You have a linear system of two equations in two unknowns\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract the second equation from the first one. You will get a single equation in one unknown\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-y - 4y = 5 - (-4), or\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-5y = 5 + 4, or\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5y = -9.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, y = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute this value of y into the first equation of the original system. You will have \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x - (-1.8) = 5, \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x = 5 - 1.8,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x = 3.2,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. x = 0.8, y = -1.8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |