document.write( "Question 60859: Solve the system by addition or substitution. 4x – y = –3 y = 4x + 8 \n" ); document.write( "
Algebra.Com's Answer #41813 by jai_kos(139)![]() ![]() ![]() You can put this solution on YOUR website! Solution: \n" ); document.write( "Given 4x – y = –3 y = 4x + 8 \n" ); document.write( "Let us divide the equation in two, we get \n" ); document.write( "4x – y = -3y --------(1) \n" ); document.write( "And \n" ); document.write( "-3y = 4x + 8 --------(2)\r \n" ); document.write( "\n" ); document.write( "Consider the equation(1), we get \n" ); document.write( "4x – y = - 3y \n" ); document.write( "Put the entire y in one side, we get \n" ); document.write( "4x = -3y + y \n" ); document.write( "4x = -2y \n" ); document.write( "-2x = y --------(3)\r \n" ); document.write( "\n" ); document.write( "Now substitute equation(3) in equation(2), we get \n" ); document.write( "-3(-2x) = 4x + 8 \n" ); document.write( "6x = 4x + 8 \n" ); document.write( "Get the entire “x” on one side, we get \n" ); document.write( "6x - 4x = 8 \n" ); document.write( "2x = 8 \n" ); document.write( "x = (8/2) \n" ); document.write( "x = 4 ---------(4)\r \n" ); document.write( "\n" ); document.write( "Now put the value of “x” in equation(3), weget \n" ); document.write( "-2(4) = y \n" ); document.write( "-8 = y \n" ); document.write( "Hence the value of “x” = 4 and the value of “y” = -8 \n" ); document.write( " \n" ); document.write( " |