document.write( "Question 906100: I need help with AB = 4x+9 BC= 5x+2 AC = 56 solve for x \n" ); document.write( "
Algebra.Com's Answer #549630 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Assuming A, B and C are all on the same line with B between A and C, we can say\r
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\n" ); document.write( "\n" ); document.write( "AB + BC = AC\r
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\n" ); document.write( "\n" ); document.write( "4x+9 + 5x+2 = 56\r
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\n" ); document.write( "\n" ); document.write( "9x + 11 = 56\r
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\n" ); document.write( "\n" ); document.write( "9x = 56 - 11\r
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\n" ); document.write( "\n" ); document.write( "9x = 45\r
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\n" ); document.write( "\n" ); document.write( "x = 45/9\r
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\n" ); document.write( "\n" ); document.write( "x = 5\r
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\n" ); document.write( "\n" ); document.write( "Extra Info: We can use x = 5 to find AB and BC\r
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\n" ); document.write( "\n" ); document.write( "AB = 4x+9
\n" ); document.write( "AB = 4(5)+9
\n" ); document.write( "AB = 20+9
\n" ); document.write( "AB = 29\r
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\n" ); document.write( "\n" ); document.write( "BC = 5x+2
\n" ); document.write( "BC = 5(5)+2
\n" ); document.write( "BC = 25+2
\n" ); document.write( "BC = 27\r
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\n" ); document.write( "\n" ); document.write( "Notice how AB = 29 and BC = 27 add to AC = 56 (AB+BC = 29+27 = 56 = AC). That confirms our answer.
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