SOLUTION: 2m+n=11 m-4n=37 Solve by substitution method. what is the solution of the system?

Question 448994: 2m+n=11 m-4n=37 Solve by substitution method. what is the solution of the system?
Answer by solver15(27) (Show Source): You can put this solution on YOUR website!
2m+n=11 m-4n=37 Solve by substitution method.
all you have to do
2m+n=11
subtract2m from both sdes of the equation
2m+n=11
-2m -2m
n=-2m+11
and then you plug it in the second equation
m-4(-2m+11)=37 and then multiply across
m+8m-44=37
combine like terms
9m-44=37 and add 44
+44 +44
9m/9=81/9
m=9 and you plug it back in to the previous equation
2(9)+n=11
18+n=11
and subtract 18 to both sides
and you are left with
n=-7
and your set of solution is (9,-7) and that is your answer:)
RELATED QUESTIONS
solve by the substitution method 3m+n=13 m-2n=23 what is the solution of the... (answered by actuary)

solve by the substitution method. 4m + n= 2 m- 8n =50 What is the solution of the... (answered by mananth)

4m + n =2 m - 8n =50 solve by using the substitution method. what is the solution of... (answered by Theo)

slove the system of equations by graphing then classify the system. y + -x -10 4x... (answered by solver91311)

solve by substitution method what is the solution of the system? 4x+3y=-11 and... (answered by jim_thompson5910)

solve by substitution method 4m+n=10 m-4n=11 and 6x+7y=-13... (answered by checkley77)

solve by the substitution method. 6m + n = 28 m - 3n = 11 The solution is ___?... (answered by drj)

Plz help.. need to solve by the substitution method.. what is the solution 8m + n=1 m (answered by College Student)

Solve by the substitution method 6m+n=23 m-6n=10 the solution... (answered by drk)