document.write( "Question 210662: I am kind of lost on these problems please help
\n" ); document.write( "Solve find the value for the given variable Show all work and check answers showing all work
\n" ); document.write( "2x + 6 over 5 = x+4 over 3
\n" ); document.write( "3(2x+6) = 5(x+4)
\n" ); document.write( "6x +18 = 5x + 20 now I am confused and also don't know how to check answer\r
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\n" ); document.write( "\n" ); document.write( "I would like to know if these are right and how to show the work to check answer
\n" ); document.write( "b/4 + b/3 = 7
\n" ); document.write( "12(b/4 + b/3) = 12(7)
\n" ); document.write( "12(b/4) + 12(b/3 = 84
\n" ); document.write( "3b + 4b = 84
\n" ); document.write( "7b = 84
\n" ); document.write( "b = 12\r
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\n" ); document.write( "\n" ); document.write( "b/6 - b-2/8 = 4
\n" ); document.write( "LCD is 48
\n" ); document.write( "48(b/6 - b-2/8) = 48 (4)
\n" ); document.write( "48 (b/6 - 48 ( b-2/8) = 192
\n" ); document.write( "8b - 6(b-2) = 192
\n" ); document.write( "8b - 6b - 12 = 192
\n" ); document.write( "2b = 204
\n" ); document.write( "b = 102\r
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Algebra.Com's Answer #159165 by vleith(2983)\"\" \"About 
You can put this solution on YOUR website!
Solve find the value for the given variable Show all work and check answers showing all work
\n" ); document.write( "2x + 6 over 5 = x+4 over 3
\n" ); document.write( "3(2x+6) = 5(x+4)
\n" ); document.write( "6x +18 = 5x + 20 now I am confused and also don't know how to check answer.
\n" ); document.write( "So far, so good. Collect like terms
\n" ); document.write( "\"6x+%2B18+=+5x+%2B+20+\" subtract 5x from both sides and subtract 18 from both sides
\n" ); document.write( "\"6x+-+5x+%2B+18+-+18+=+5x+-+5x+%2B+20+-+18\" simplify
\n" ); document.write( "\"x+=+2\"\r
\n" ); document.write( "\n" ); document.write( "2)
\n" ); document.write( "The work is correct. To check your answer, take your solution (12) and substitute it into the original equation. If the result is, in fact, equal, then your answer is correct. In this case
\n" ); document.write( "\"b%2F4+%2B+b%2F3+=+7\" substitute in x=12
\n" ); document.write( "\"12%2F4+%2B+12%2F3+=+7\"
\n" ); document.write( "\"3+%2B+4+=+7\"
\n" ); document.write( "\"7+=+7\" which is TRUE. so your answer is correct\r
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\n" ); document.write( "\n" ); document.write( "b/6 - b-2/8 = 4
\n" ); document.write( "LCD is 48
\n" ); document.write( "48(b/6 - b-2/8) = 48 (4)
\n" ); document.write( "48 (b/6 - 48 ( b-2/8) = 192
\n" ); document.write( "\"8b+-+6%28b-2%29+=+192\" so far, so good. You have an error in the next step.
\n" ); document.write( "\"8b+-+6b+-+12+=+192\" should be \"8b+-+6b+%2B+12+=+192\" remember when expanding, a negative times a negative is a positive
\n" ); document.write( "2b = 180
\n" ); document.write( "b = 90\r
\n" ); document.write( "\n" ); document.write( "URL to check your answer --> http://www.wolframalpha.com/input/?i=+b%2F6+-+(b-2)%2F8+%3D+4
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