If 3m+2n=16 and m−2n=0, then what is the value of m?
Mathematics · High School · Thu Feb 04 2021
Answered on
Given:
3m + 2n = 16
m - 2n = 0
Solve for m.
Solution:
We can solve for the value of my by using the substitution method. This can be done by solving for the value of n in the first equation, then substitute it to the second equation. To do so we transpose 3m to the other side of the equation, and then divide both sides by 2 to cancel out 2n. Hence we must take note that in transposing a number. the sign changes.
3m + 2n = 16
2n = 3m + 16
2n/2 = (3m + 16)/2
n = 3/2m + 8
Subsitute the value of n to the second equation.
m - 2 ( 3/2 m + 8) = 0
m - 3m + 16 = 0
-2m + 16 = 0
2m = 16
2m/2 = 16/2
m = 8
Final answer:
m = 8