document.write( "Question 619449: Solve the following system by substitution.
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document.write( "x=7y+24
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document.write( "x=(7/4)y\r
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document.write( "My work:
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document.write( "(7/4)y = 7y+24
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document.write( "multiply each side by 4\r
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document.write( "7y=28y+96
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document.write( "divide by 7\r
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document.write( "y= 4y+(96/7)
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document.write( "move the Y and 96/7 to the other side
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document.write( "-(96/7) = 3y
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document.write( "I've multiplied 7 on both sides and then divided -672 = 21y which equals to -32\r
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document.write( "then input the -32 like this\r
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document.write( "x=7(-32)+24
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document.write( "x=-200\r
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document.write( "but on the second equation it does not match
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document.write( "x=(7/4)(-32)
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document.write( "x=-56\r
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document.write( "and here are my choices:
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document.write( "A. The solution set is {( _, _)} (Type an ordered pair)
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document.write( "B. The system has dependent equations. The solution set is {x,y)| _____}
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document.write( "c. The system is inconsisten. The solution set is undefined. \n" );
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Algebra.Com's Answer #389657 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! x=7y+24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(7/4)y=7y+24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7y=4*(7y+24)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7y=28y+96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7y-28y=96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-21y=96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=96/(-21)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -32/7\r \n" ); document.write( "\n" ); document.write( "-------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 7y+24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 7(-32/7)+24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -32+24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A. The solution set is {( -8, -32/7)} (Type an ordered pair)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "B. The system has dependent equations. The solution set is {(x,y)| _____}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c. The system is inconsistent. The solution set is undefined. \n" ); document.write( " |