solve using kvl and kcl and find voltages and currents.

for this i took i1=i2+i3
  v1=2i1
v2=8i2
v3=4i3

equations i got by assuming loop 1 and loop 2 were 5i2 + i3 = 5 and (-2i3 + 4i2 = -3)
 

on solving im getting i2=0.5A and i3=2.5A but the answer key says i2=500mA and i3=1.25A
 

i don't understand where my mistake is. please help

Solve using KVL and KCL and find voltages and currents.

For this I took $$i_1=i_2+i_3$$ $$v_1=2i_1$$ $$v_2=8i_2$$ $$v_3=4i_3$$

The equations I got by assuming loop 1 and loop 2 were $$5i_2 + i_3 = 5$$ and $$-2i_3 + 4i_2 = -3$$

On solving I'm getting \$i_2=0.5\text{ A}\$ and \$i_3=2.5\text{ A}\$ but the answer key says \$i_2=500\text{ mA}\$ and \$i_3=1.25\text{ A}\$.

I don't understand where my mistake is.