Question

for what values of m and n the
following system of linear equation has infinitely many solutions 3x+4y=12 and. (m+n)x+2(m-n)y=5m-1​

Answer 1

HERE IS THE ANSWER MATE

Answer 2

Answer:

m=5, n=1

Step-by-step explanation:

For infinite solutions, equation must satisfy the following

a1/a2=b1/b2=c1/c2

so here,

3/m+n=2/m-n=12/5m-1

cross multiplying it,

3m-3n=2m+2n

=> m=5n---- 1

cross multiplying again

10m-2=12m-12n

-2m+12n=2

-2(m-6n)=2

m-6n=-1-----2

Sub 1 in 2

5n-6n=-1

-n=-1

n=1

Sub n=1 in 1

m=5n

m=5(1)

m=5