document.write( "Question 203481: I actually attempted the examples in my book but still do not grasp the concept if I can actually get someone to get to break this down for me i might be able to do the rest on my own:\r
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document.write( "y= -3x+19
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document.write( "y= 2x-1\r
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document.write( "and \r
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document.write( "x+3y=2
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document.write( "-x+y=1 thank you \r
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Algebra.Com's Answer #153509 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The first one lends itself to the substitution method \n" ); document.write( ": \n" ); document.write( "y= -3x+19 \n" ); document.write( "y= 2x - 1 \n" ); document.write( "Look at the 2nd equation, it should be apparent that we can \n" ); document.write( "substitute (2x-1) for y in the 1st equation, then find x \n" ); document.write( "2x - 1 = -3x + 19 \n" ); document.write( "2x + 3x = 19 + 1 \n" ); document.write( "5x = 20 \n" ); document.write( "x = \n" ); document.write( "x = 4 \n" ); document.write( "Use the 2nd equation to find y. Substitute 4 for x \n" ); document.write( "y = 2(4) - 1 \n" ); document.write( "y = 8 - 1 \n" ); document.write( "y = 7 \n" ); document.write( "Check your solutions by substitution in the 1st equation \n" ); document.write( "y = - 3x + 19 \n" ); document.write( "7 = -3(4) + 19 \n" ); document.write( "7 = -12 + 19; confirms our solutions \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "The 2nd equation lends itself to the elimination method \n" ); document.write( " x + 3y = 2 \n" ); document.write( "-x + y = 1 \n" ); document.write( "-------------adding these eliminates x, find y \n" ); document.write( "0x + 4y = 3 \n" ); document.write( "y = \n" ); document.write( ": \n" ); document.write( "Find x using the 1st equation, substitute 3/4 of y \n" ); document.write( "x + 3(3/4) = 2 \n" ); document.write( "x + 9/4 = 2 \n" ); document.write( "x = 2 - 9/4 \n" ); document.write( "x = -1/4 \n" ); document.write( ": \n" ); document.write( "Check solution in the 2nd equation \n" ); document.write( "-x + y = 1 \n" ); document.write( "-(-1/4) + (3/4) = 1 \n" ); document.write( "+1/4 + 3/4 = 1 \n" ); document.write( " |