document.write( "Question 110237: Solve by substitution.
\n" ); document.write( "8x – 4y = 16
\n" ); document.write( "y = 2x – 4
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Algebra.Com's Answer #80330 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Start with the given system\r
\n" ); document.write( "\n" ); document.write( "\"8x-4y=16\"
\n" ); document.write( "\"y=2x-4\"\r
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\n" ); document.write( "\n" ); document.write( "\"8x-4%282x-4%29=16\" Plug in \"y=2x-4\" into the first equation. In other words, replace each \"y\" with \"2x-4\". 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( "\"8x-8x%2B16=16\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"16=16\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"0=16-16\"Subtract 16 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"0=0\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.\r
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