document.write( "Question 494662: Need someone's help please.\r
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document.write( "Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
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document.write( "4x + 4y = -36
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document.write( "4x + 4y = 12 \n" );
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Algebra.Com's Answer #335745 by stanbon(75887) ![]() You can put this solution on YOUR website! Need someone's help please. \n" ); document.write( "Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. \n" ); document.write( "4x + 4y = -36 \n" ); document.write( "4x + 4y = 12 \n" ); document.write( "---- \n" ); document.write( "It has no solution because the slopes are the same \n" ); document.write( "and the y-intercepts are not the same. \n" ); document.write( "------------------------------------------------ \n" ); document.write( "Solution by substitution: \n" ); document.write( "Divide thru both equations by 4: \n" ); document.write( "---- \n" ); document.write( "x + y = -9 \n" ); document.write( "x + y = 12 \n" ); document.write( "---- \n" ); document.write( "x = 12-y \n" ); document.write( "--- \n" ); document.write( "substitute for \"x\" and solve for \"y\": \n" ); document.write( "12-y + y = -9 \n" ); document.write( "12 = 9 \n" ); document.write( "---- \n" ); document.write( "That contradiction occurred because we assumed the \n" ); document.write( "\"x\" in both equations were the same and the \"y\" \n" ); document.write( "in both equations were the same. They cannot be. \n" ); document.write( "============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================== \n" ); document.write( " \n" ); document.write( " |