SOLUTION: Solve using the substitution method. 4m+n=23 m-4n=10

Question 243708: Solve using the substitution method.
4m+n=23
m-4n=10
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
With the substitution method, you isolate one unknown and then substitute it into the other equation to find a solution. The equations are:
EQ1: 4m + n = 23
EQ2: m - 4n= 10
.
Working with EQ2.
Add 4n to both sides.
m = 4n + 10
.
Now we can substitute it back into EQ1.
4(4n+10) + n = 23
Multiply through the left-hand pararentheses
16n + 40 + n = 23
Collect like terms
17n + 40 = 23
Subtract 40 from both sides
17n = - 17
Divide both sides by 17
n = -1
.
Now we take that value and substitute back into EQ2.
m = 4(-1) + 10
m = 6
.
So our proposed solution is:
n = -1
m = 6
.
We can check by putting these values back into the equations.
4(6) + (-1) = 24 - 1 = 23. Check.
6 - 4(-1) = 6 + 4 = 10. Check.
RELATED QUESTIONS
I cannot get this please help solve using the substitution method 4m+n=27... (answered by mathsmiles)

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

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

solve by the substitution method 4m+n=17... (answered by rfer)

Solve by the substitution method. 4m + n = 33 m - 7n =... (answered by stanbon)

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

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

substitution method m-2n=16... (answered by Nate)

Substitution Method 4m+n=11... (answered by mananth)