Using loop equation to determine i1 and i2 for the following

Using loop equation to determine i_1 and i_2 for the following circuit:

Apply kvlnin loop1:

10-R1*i1-R2*(i1+i2)+5=0

10-10*i1-5(i1+i2)+5=0

3i1+i2=3. .....(1)

Apply KVL in loop2:

5+5-5*i2-5(i1+i2)=0

2i2+i1=2 .....(2)

Solving: i1=4/5 A, i2=3/5 A