document.write( "Question 572586: solve by substitution method
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document.write( "5x+2y=-7
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document.write( "7x+3y=13
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document.write( "I am having an extremly hard time figuring this out PLEASE help \n" );
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Algebra.Com's Answer #368454 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! solve by substitution method \n" ); document.write( "5x+2y=-7 \n" ); document.write( "7x+3y=13 \n" ); document.write( "---------- \n" ); document.write( "The usual approach is to solve for either x or y in 1 of the eqns. \n" ); document.write( "---- \n" ); document.write( "5x+2y=-7 \n" ); document.write( "2y = -5x - 7 \n" ); document.write( "y = -5x/2 - 7/2 \n" ); document.write( "---- \n" ); document.write( "Sub for y in the other eqn \n" ); document.write( "7x+3y=13 \n" ); document.write( "7x + 3(-5x/2 - 7/2) = 13 \n" ); document.write( "7x - 15x/2 - 21/2 = 13 \n" ); document.write( "-x/2 = 47/2 \n" ); document.write( "x = -47 \n" ); document.write( "------- \n" ); document.write( "y = -5x/2 - 7/2 \n" ); document.write( "y = 235/2 - 7/2 \n" ); document.write( "y = 114 \n" ); document.write( "====================== \n" ); document.write( "A different method: \n" ); document.write( "5x+2y=-7 \n" ); document.write( "7x+3y=13 \n" ); document.write( "---- \n" ); document.write( "15x + 6y = -21 \n" ); document.write( "14x + 6y = 26 \n" ); document.write( "Solve for 6y, then sub. You avoid fractions that way. \n" ); document.write( "15x + 6y = -21 \n" ); document.write( "--> 6y = -15x - 21 \n" ); document.write( "-------------- \n" ); document.write( "21x + 6y = 39 \n" ); document.write( "14x + (-15x - 21) = 26 \n" ); document.write( "etc, same answer \n" ); document.write( " \n" ); document.write( " |