document.write( "Question 393058: I'm struggling to help my 8th grade daughter with her algebra........
\n" ); document.write( "this is one.......the solution to which system of equations has a positive y value? 4 choices are listed but this is the one that's supposed to be correct---
\n" ); document.write( "y=3x+3 and 2x+3y=0. I keep coming up with a negative value. Can you help? Thank you!
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Algebra.Com's Answer #279002 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2x%2B3y=0\" Start with the second equation.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B3%283x%2B3%29=0\" Plug in \"y=3x%2B3\" into the first equation. In other words, replace each \"y\" with \"3x%2B3\". Notice we've eliminated the \"y\" variables. So we now have a simple equation with one unknown.\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B9x%2B9=0\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"11x%2B9=0\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"11x=0-9\"Subtract 9 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"11x=-9\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28-9%29%2F%2811%29\" Divide both sides by 11 to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=-9%2F11\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "Now that we know that \"x=-9%2F11\", we can plug this into \"y=3x%2B3\" to find \"y\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=3x%2B3\" Start with the first equation.\r
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\n" ); document.write( "\n" ); document.write( "\"y=3%28-9%2F11%29%2B3\" Substitute \"-9%2F11\" for each \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=-27%2F11%2B3\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"y=6%2F11\" Add\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=-9%2F11\" and \"y=6%2F11\"\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "Also, feel free to check out my tutoring website\r
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\n" ); document.write( "\n" ); document.write( "Jim
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