document.write( "Question 720149: how can I solve this solve each system of equations by substitution method
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document.write( "-3x+7y=14
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document.write( "2x-y=-13 \n" );
document.write( "
Algebra.Com's Answer #441687 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! how can I solve this solve each system of equations by substitution method \n" ); document.write( "-3x+7y=14 \n" ); document.write( "2x-y=-13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3x + 7y = 14 (Equation 1)\r \n" ); document.write( "\n" ); document.write( "2x - y = -13 (Equation 2)\r \n" ); document.write( "\n" ); document.write( "2x - y = -13\r \n" ); document.write( "\n" ); document.write( "Subtract 2x from each side of the equation.\r \n" ); document.write( "\n" ); document.write( "2x - y - 2x = -13 - 2x\r \n" ); document.write( "\n" ); document.write( "-y = -13 - 2x\r \n" ); document.write( "\n" ); document.write( "Divide each item by -1\r \n" ); document.write( "\n" ); document.write( "-y/-1 = -13/-1 -2x/-1\r \n" ); document.write( "\n" ); document.write( "y = 13 + 2x or\r \n" ); document.write( "\n" ); document.write( "y = 2x + 13 (Equation 3)\r \n" ); document.write( "\n" ); document.write( "Substitute Equation 3 into Equation 1\r \n" ); document.write( "\n" ); document.write( "-3x + 7y = 14\r \n" ); document.write( "\n" ); document.write( "-3x + 7(2x + 13) = 14\r \n" ); document.write( "\n" ); document.write( "-3x + 14x + 91 = 14\r \n" ); document.write( "\n" ); document.write( "-3x + 14x = 11x\r \n" ); document.write( "\n" ); document.write( "11x + 91 = 14\r \n" ); document.write( "\n" ); document.write( "11x + 91 - 91 = 14 - 91\r \n" ); document.write( "\n" ); document.write( "11x = -77\r \n" ); document.write( "\n" ); document.write( "x = -7\r \n" ); document.write( "\n" ); document.write( "Substitute x = -7 into Equation 2\r \n" ); document.write( "\n" ); document.write( "2x - y = -13\r \n" ); document.write( "\n" ); document.write( "2(-7) - y = -13\r \n" ); document.write( "\n" ); document.write( "-14 - y = -13\r \n" ); document.write( "\n" ); document.write( "Add 14 to each side of the equation.\r \n" ); document.write( "\n" ); document.write( "-14 - y + 14 = -13 + 14\r \n" ); document.write( "\n" ); document.write( "-y = 1\r \n" ); document.write( "\n" ); document.write( "Divide each side by -1\r \n" ); document.write( "\n" ); document.write( "y = -1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "x = -7 and \r \n" ); document.write( "\n" ); document.write( "y = -1\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lennox Obuong \n" ); document.write( "Algebra Tutor \n" ); document.write( " |