Question

Solve by substitution method
5m-2n=17
3m+n=8

Answer 1

Step-by-step explanation:

5m-2n=17. (1)

3m+n=8. (2)

multiply by 2 to equation (2),

6m+2n=16. (3)

add equation (1) and (3),

11m=33

m=33/11

m=3

put value of m in equation (2),

3(3)+n=8

9+n=8

n=8-9

n= -1

m=3 ,n= -1

Answer 2

Substitution method is a method where you can find the values of variables by substituting the value of one variable in the terms of another variable.
One of the given equation is,
3m + n = 8
Therefore, n = 8 - 3m
Substitute this value of n in another equation, we get,
5m - 2(8 - 3m) = 17
=> 5m - 16 + 6m = 17
=> 11m = 17 + 16
=> 11m = 33
=> m = 33/11
=> m = 3
Put this value of m in the first equation to find the value of n
n = 8 - 3(3)
n = 8 - 9
n = -1