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You can put this solution on YOUR website!
There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:
\n" ); document.write( "2m + n = 0 => n = -2m
\n" ); document.write( "We can input that in for the other equation:
\n" ); document.write( "m + 2n = 3 now becomes: m + 2(-2m) = 3
\n" ); document.write( "Now we can solve:
\n" ); document.write( "m + 2(−2m) = 3
\n" ); document.write( "m + −4m = 3
\n" ); document.write( "(m + −4m) = 3 (Combine Like Terms)
\n" ); document.write( "−3m=3
\n" ); document.write( "m = -1
\n" ); document.write( "Now we can input that value in to solve for n:
\n" ); document.write( "We said that n = -2m, and m = -1, so n = -2(-1):
\n" ); document.write( "n = 2
\n" ); document.write( "Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)
\n" ); document.write( "----------------------
\n" ); document.write( "However, if you were solving for m+n:
\n" ); document.write( "You would add the two equations!:
\n" ); document.write( "2m + n = 0
\n" ); document.write( "m + 2n = 3
\n" ); document.write( "----------
\n" ); document.write( "3m + 3n = 3
\n" ); document.write( "Now, you can take 3 common:
\n" ); document.write( "3(m+n) = 3
\n" ); document.write( "m + n = 1
\n" ); document.write( "Your final answer for what m + n equals 1! \n" ); document.write( "