document.write( "Question 101028: Could someone please help me solve this question: Solve the following system of two linear equations by substitution: x + 2 y – 8 =0 & 2 x + 4 y + 4 =0.
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document.write( "Noting each equation represents a line, draw both lines and interpret the results.\r
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document.write( "Thank you, for taking the time to help me. \n" );
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Algebra.Com's Answer #73571 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve the following system of two linear equations by substitution: x + 2 y – 8 =0 & 2 x + 4 y + 4 =0. \n" ); document.write( "Noting each equation represents a line, draw both lines and interpret the results. \n" ); document.write( "----------------------- \n" ); document.write( "1st: x + 2 y = 8 \n" ); document.write( "2nd: 2 x + 4 y = - 4 \r \n" ); document.write( "\n" ); document.write( "------------------- \n" ); document.write( "Multiply the 1st be 2 to get: \n" ); document.write( "3rd: 2x + 4y = 16 \n" ); document.write( "----------- \n" ); document.write( "Subtract 2nd from 3rd to get: \n" ); document.write( "0 = 20 \n" ); document.write( "That is a contradiction that happened because we assumed the \n" ); document.write( "\"x\" in one equation was the same as the \"x\" in the other, and \n" ); document.write( "the same for the \"y\". \n" ); document.write( "They are not the same; the system in called \"inconsistent\" \n" ); document.write( "------------------ \n" ); document.write( "If you were to graph the two equations you would get two \n" ); document.write( "parallel lines. \n" ); document.write( "there is no solution for the system of equations.\r \n" ); document.write( "\n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |