Answer
$i1 = 6.667A$
Work Step by Step
Start by applying KCL at the top node, summing the currents coming into the the node
$ΣI = 10 - V/30 - i1 = 0$
where V is the voltage across all the components ( since they are in parallel)
write an equation relating i1 to V
$i1 = V / 15$ (using ohms law)
now solve for V
$10 = V( 1/30 + 1/15)$
$V = 100 Volts$
now solve for i1 using V
$i1=100/15 = 6.667A$
