document.write( "Question 161753: solve the system of equations using the addition (elimination) method.
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document.write( "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 “infinitely many solutions.”
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document.write( "x + 2y = 5
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document.write( "3x + 4y = 1
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Algebra.Com's Answer #119278 by elima(1433)![]() ![]() ![]() You can put this solution on YOUR website! You will add the equations together in order to eliminate one of the variables; \n" ); document.write( "x + 2y = 5 \n" ); document.write( "3x + 4y = 1 \n" ); document.write( "Lets start by eliminating the y, so we will multiply the first equation by -2; \n" ); document.write( "-2 (x + 2y = 5) \n" ); document.write( "-2x - 4y = -10 \n" ); document.write( "Now we will be able to add the two equations together so we can eliminate the y; \n" ); document.write( "-2x-4y =-10 \n" ); document.write( "3x + 4y = 1 \n" ); document.write( "----------- \n" ); document.write( "x= -11 \n" ); document.write( "Now plug the -11 in either equation for x; \n" ); document.write( "-11 + 2y = 5 \n" ); document.write( "2y = 5+11 \n" ); document.write( "2y = 16 \n" ); document.write( "y=8 \n" ); document.write( " so the answer is; \n" ); document.write( "(-11, 8) \n" ); document.write( ":) \n" ); document.write( " |