document.write( "Question 978100: Here's the question and part of the solution.\r
\n" ); document.write( "\n" ); document.write( "How many ordered pairs (x,y) satisfy this system of equations:
\n" ); document.write( "x = 2y + 5
\n" ); document.write( "y = (2x-3)(x+9)\r
\n" ); document.write( "\n" ); document.write( "Here's part of the solution:
\n" ); document.write( "Step 1. Substitute y in the 2nd equation into the first equation to get x = 2((2x-3)(x+9)) + 5\r
\n" ); document.write( "\n" ); document.write( "Step 2. The above = 4x^2 + 30x - 54\r
\n" ); document.write( "\n" ); document.write( "Step 3. The solution says this can be rewritten as: 4x^2 + 29x -54 = 0. \r
\n" ); document.write( "\n" ); document.write( "Here are my problems: What happened to the 5 on the end of the equation in Step 1? Where did the 29 come from in Step 3? \r
\n" ); document.write( "\n" ); document.write( "Thank you for any help?\r
\n" ); document.write( "\n" ); document.write( "Helen
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Algebra.Com's Answer #599600 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"y=%282%282y%2B5%29-3%29%28%282y%2B5%29%2B9%29\", the substitution for x.
\n" ); document.write( "\"y=%284y%2B10%2B5%29%282y%2B5%2B9%29\"
\n" ); document.write( "\"y=%284y%2B15%29%282y%2B14%29\"
\n" ); document.write( "\"y=8y%5E2%2B30y%2B4%2A14y%2B15%2A14\"
\n" ); document.write( "\"y=8y%5E2%2B86y%2B210\"
\n" ); document.write( "\"0=8y%5E2%2B85y%2B210\"\r
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\n" ); document.write( "\n" ); document.write( "Find the solutions for y, which might be none, or one, or two of them.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I CHOSE to make the substitution for x instead of for y. You could just as well make the sub for y as you may have wanted. My view is that the subst for x is easier to use.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What you actually tried to do is tougher, and may be more work.
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