document.write( "Question 236065: Using substituion what it the solution for the equations 2x+2y=50;y=x+9? \n" ); document.write( "
Algebra.Com's Answer #173820 by jim_thompson5910(35256)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"2x%2B2y=50\" Start with the 1st equation\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B2%28x%2B9%29=50\" Plug in \"y=x%2B9\"\r
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\n" ); document.write( "\n" ); document.write( "\"2x%2B2x%2B18=50\" Distribute.\r
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\n" ); document.write( "\n" ); document.write( "\"4x%2B18=50\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=50-18\" Subtract \"18\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"4x=32\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2832%29%2F%284%29\" Divide both sides by \"4\" to isolate \"x\".\r
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\n" ); document.write( "\n" ); document.write( "\"x=8\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "\"y=x%2B9\" Move onto to the 2nd equation\r
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\n" ); document.write( "\n" ); document.write( "\"y=8%2B9\" Plug in \"x=8\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=17\" Add\r
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\n" ); document.write( "\n" ); document.write( "So the solutions are \"x=8\" and \"y=17\" which form the ordered pair (8,17). So the system is consistent and independent.
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