document.write( "Question 284734: I have tried to work this problem can you please help me.\r
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Algebra.Com's Answer #206559 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
your equation is:\r
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\n" ); document.write( "\n" ); document.write( "You want to solve for y so you can graph this equation.\r
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\n" ); document.write( "\n" ); document.write( "first get all the y terms on the left side of the equation and everything else on the right side of the equation.\r
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\n" ); document.write( "\n" ); document.write( "you do this in the following manner:\r
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\n" ); document.write( "\n" ); document.write( "subtract 3y from both sides of the equation to get:\r
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\n" ); document.write( "\n" ); document.write( "-3y + 2x < 6\r
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\n" ); document.write( "\n" ); document.write( "subtract 2x from both sides of the equation to get:\r
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\n" ); document.write( "\n" ); document.write( "-3y < -2x + 6\r
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\n" ); document.write( "\n" ); document.write( "multiply both sides of the equation by -1 to get:\r
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\n" ); document.write( "\n" ); document.write( "3y > 2x - 6\r
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\n" ); document.write( "\n" ); document.write( "notice that the inequality is reversed when you multiply both sides of this equation by -1.\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 3 to get:\r
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\n" ); document.write( "\n" ); document.write( "y > (2/3)x - 2\r
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\n" ); document.write( "\n" ); document.write( "graph the equality equation of y = (2/3)x - 2 to get:\r
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\n" ); document.write( "\n" ); document.write( "\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%282%2F3%29x-2%29\"\r
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\n" ); document.write( "\n" ); document.write( "y will be any value above that line.\r
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\n" ); document.write( "\n" ); document.write( "for example, when x = 3, any value of y > 0 will satisfy the equation.\r
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\n" ); document.write( "\n" ); document.write( "to confirm, let x = 3 in your original equation.\r
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\n" ); document.write( "\n" ); document.write( "your original equation is:\r
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\n" ); document.write( "\n" ); document.write( "2x < 3y + 6\r
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\n" ); document.write( "\n" ); document.write( "when x is equal to 3, this becomes:\r
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\n" ); document.write( "\n" ); document.write( "6 < 3y + 6\r
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\n" ); document.write( "\n" ); document.write( "subtract 6 from both sides of this equation to get:\r
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\n" ); document.write( "\n" ); document.write( "0 < 3y\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 3 to get:\r
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\n" ); document.write( "\n" ); document.write( "0 < y\r
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\n" ); document.write( "\n" ); document.write( "since 0 < y is the same as y > 0, the solution is confirmed.\r
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