# SOLUTION: solve by the substitution method 3m+n=13 m-2n=23 what is the solution of the system

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 Question 250938: solve by the substitution method 3m+n=13 m-2n=23 what is the solution of the systemAnswer by actuary(112)   (Show Source): You can put this solution on YOUR website!Rearrange the first equation so that n=13-3m SUBSTITUTE the rearranged equation into the second equation for n. The second equation then becomes m-2(13-3m)=23 Use the DISTRIBUTIVE property so that this equation becomes m-2*13+2*3m = 23 (REMEMBER - negative times a negative is a negative) We now have m-26+6m = 23 The next step is to combine like terms We now have 7m - 26 = 23 Add 26 to each side of the equation so that 7m = 49. Divide both sides of the equation by 7 so that m = 7 Substitute this value for m into the first equation to solve for n. We now have 3*7+n=13 Therefore n = 13-3*7= 13-21 = -8 So m = 7 and n = -8