document.write( "Question 76478: Solve the system by substitution.
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document.write( "3x-y=-7
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document.write( "x+y=-9 \n" );
document.write( "
Algebra.Com's Answer #54854 by chitra(359)![]() ![]() You can put this solution on YOUR website! The given system of equations are: \r \n" ); document.write( "\n" ); document.write( "3x - y = -7 --------------(1)\r \n" ); document.write( "\n" ); document.write( "x + y = -9 --------------(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "EQN (2) can be written as: y = -9 - x substituting this is EQN (1), we get: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x - (-9 - x) = -7 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3x + 9 + x = -7 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x = - 7 - 9 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4x = - 16 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = - 4 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting this in EQN(1) \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3(-4) - y = -7 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> -12 - y = -7 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> -y = -7 + 12 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> - y = 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y = -5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the solutions of the given set of equations are given by: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -4 and y = -5 are the solutions. \n" ); document.write( " |