document.write( "Question 515775: Can you solve these problems by substitution?\r
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document.write( "1.)
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document.write( "x + 2y = -1
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document.write( "4x - 5y = 22\r
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document.write( "2.)
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document.write( "-3x + 7y = 14
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document.write( "2x - y = -13 \n" );
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Algebra.Com's Answer #344165 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "1.) \n" ); document.write( "x + 2y = -1............(1) \n" ); document.write( "4x - 5y = 22...........(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1) by -4 and add to (2)\r \n" ); document.write( "\n" ); document.write( "-4x-8y=4 \n" ); document.write( "4x-5y=22 \n" ); document.write( "-13y=26 \n" ); document.write( "-13y/-13=26/-13 \n" ); document.write( "y=-2 \n" ); document.write( "Put the value of y in (1) \n" ); document.write( "x+2y=-1 \n" ); document.write( "x+2(-2)=-1 \n" ); document.write( "x-4=-1 \n" ); document.write( "x=-1+4 \n" ); document.write( "x=3\r \n" ); document.write( "\n" ); document.write( "x,y = 3, -2\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "Put the values of x and y in (1) \n" ); document.write( "x + 2y = -1............(1) \n" ); document.write( "3+2(-2)=-1 \n" ); document.write( "3-4=-1 \n" ); document.write( "-1=-1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.) \n" ); document.write( "-3x + 7y = 14 ..........(1) \n" ); document.write( "2x - y = -13...........(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (2) by 7 and add to (2) \n" ); document.write( "-3x + 7y = 14 \n" ); document.write( "14x - 7y = -91 \n" ); document.write( "-------------- \n" ); document.write( "11x=-77 \n" ); document.write( "11x/11=-77/11 \n" ); document.write( "x=-7\r \n" ); document.write( "\n" ); document.write( "Put the value of x in (2) \n" ); document.write( "2x - y = -13...........(2) \n" ); document.write( "2(-7)-y=-13 \n" ); document.write( "-14-y=-13 \n" ); document.write( "-y=-13+14 \n" ); document.write( "-y=1 \n" ); document.write( "y=-1\r \n" ); document.write( "\n" ); document.write( "x,y=-7,-1\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "Put the values of x and y in (2) \n" ); document.write( "2(-7) - (-1) = -13 \n" ); document.write( "-14 + 1 = -13 \n" ); document.write( "-13=-13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |