document.write( "Question 1015598: A student is using the elimination method to solve the system of equations below. What is the best first step?\r
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document.write( "3x - y = 5
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document.write( "2x + 3y = 10 \n" );
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Algebra.Com's Answer #631964 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 3x - y = 5 \n" ); document.write( "2x + 3y = 10 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "3x - y = 5 \n" ); document.write( "Multiply times 3: \n" ); document.write( "9x-3y = 15 \n" ); document.write( "Now add both equations: \n" ); document.write( "9x-3y = 15 \n" ); document.write( "+ \n" ); document.write( "2x+3y = 10 \n" ); document.write( "----------- \n" ); document.write( "11x = 25 \n" ); document.write( "x = 2.27 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "3(2.27)-y= 5 \n" ); document.write( "6.81-y = 5 Multiply both sides times -1 \n" ); document.write( "-6.81+y= -5 Add 6.81 on both sides: \n" ); document.write( "y = 1.81 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \n" ); document.write( "Check: \n" ); document.write( "3(2.27)-1.81= 5 \n" ); document.write( "6.82-1.81= 5 Subtract on left, you get 5 We have the correct answer. \n" ); document.write( "The other equation: \n" ); document.write( "2x+3y = 10 \n" ); document.write( "2(2.27)+3(1.81) = 10 \n" ); document.write( "4.55+5.45 = 10 Again we have the right answer. \n" ); document.write( "J \n" ); document.write( " \n" ); document.write( " |