Question

4m-3n=23 3m+4n=11 find m and n

Answer 1

solution;

4m-3n=23

4m=23+3n

m=23+3n/4......................1

3m+4n=11 ........................2

putting the value of m in equation 2 we get,

3m+4n=11

3(23+3n/4)+4n=11

69+9n+16n/4=11

69+25n=11*4

69-44+25n=0

25n=-25

n=-1

putting the value of n in equation 1 we get,

m=23+3n/4

m=23+3(-1)/4

m=23-3/4

m=20/4

m=5