document.write( "Question 232102: solve by the substitution method.\r
\n" ); document.write( "\n" ); document.write( "6m+n= 28
\n" ); document.write( "m-7n=62 what is the solution I came up with ( 4,-8) am I close
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Algebra.Com's Answer #171611 by Robb(9)\"\" \"About 
You can put this solution on YOUR website!
You got one right!!! Good job.\r
\n" ); document.write( "\n" ); document.write( "Here is the problem worked for you:\r
\n" ); document.write( "\n" ); document.write( "I will solve 6M + N = 28 for \"M\"\r
\n" ); document.write( "\n" ); document.write( "6M + N = 28
\n" ); document.write( "6M = 28 - N
\n" ); document.write( "M = (28 - N)/6\r
\n" ); document.write( "\n" ); document.write( "Now that we have that answer for M, substitute it into the equation M - 7N = 62 to give us this equation:\r
\n" ); document.write( "\n" ); document.write( "(28 - N)/6 - 7N = 62\r
\n" ); document.write( "\n" ); document.write( "First thing we want to do now is get rid of our fraction!
\n" ); document.write( "We do that by multiplying each of the 3 terms by the denominator 6. That will give us this equation:\r
\n" ); document.write( "\n" ); document.write( "28 - N - 42N = 372\r
\n" ); document.write( "\n" ); document.write( "Now we combine like terms:\r
\n" ); document.write( "\n" ); document.write( "28 - 43N = 372\r
\n" ); document.write( "\n" ); document.write( "Next, we subtract 28 from each side of the equation: \r
\n" ); document.write( "\n" ); document.write( "****don't forget that leaves us with a NEGATIVE 43N****\r
\n" ); document.write( "\n" ); document.write( "-43N = 344\r
\n" ); document.write( "\n" ); document.write( "Finally, we divide both sides by a -43 to get:\r
\n" ); document.write( "\n" ); document.write( "N=-8\r
\n" ); document.write( "\n" ); document.write( "Now that we have N's value, we plug that back into either original equation you want, I'll use 6M + N = 28\r
\n" ); document.write( "\n" ); document.write( "Plugging N's value in to that equation, we get:\r
\n" ); document.write( "\n" ); document.write( "6M + (-8) = 28\r
\n" ); document.write( "\n" ); document.write( "Subtract (-8) from both sides:\r
\n" ); document.write( "\n" ); document.write( "***subtacting a negative number turns it to a positive***\r
\n" ); document.write( "\n" ); document.write( "Now we have:\r
\n" ); document.write( "\n" ); document.write( "6M = 36\r
\n" ); document.write( "\n" ); document.write( "Divide each side by 6 to get:\r
\n" ); document.write( "\n" ); document.write( "M = 6\r
\n" ); document.write( "\n" ); document.write( "So your answer is M=6 and N=-8\r
\n" ); document.write( "\n" ); document.write( "You came close, probably just a small arithmatic mistake somewhere...\r
\n" ); document.write( "\n" ); document.write( "Hope this helps!
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