document.write( "Question 217120: solve the system of equations using the substitution method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not specify whether the answer is no solution or infinite many solutions.
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document.write( "-3x + y = 1
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document.write( "5x +2y = -4 \n" );
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Algebra.Com's Answer #163750 by stanbon(75887) ![]() You can put this solution on YOUR website! solve the system of equations using the substitution method. If the answer is a unique solution, present it as an ordered pair: (x,y). If not specify whether the answer is no solution or infinite many solutions. \n" ); document.write( "-3x + y = 1 \n" ); document.write( "5x +2y = -4 \n" ); document.write( "---------------- \n" ); document.write( "Multiply thru the 1st equation by 2 to get: \n" ); document.write( "-6x + 2y = 2 \n" ); document.write( "------------------- \n" ); document.write( "Subtract that eq. from the 2nd equation to get rid of the \"y-terms\": \n" ); document.write( "11x = -6 \n" ); document.write( "x = -6/11 \n" ); document.write( "------------------- \n" ); document.write( "Substitute that into -3x + y = 1 to solve for \"y\": \n" ); document.write( "-3(-6/11)+ y = 1 \n" ); document.write( "18/11 + y = 11/11 \n" ); document.write( "y = -7/11 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |