how sure are you about your sketch?
i observe Vt's polarity is + up.
I observe the current source's polarity is + right so they oppose.
I can't read what is value of current source - is it 2ix ?
If so, write KVL around circuit
start at bottom of vvoltage source go ccw
-Vt + 5i5 +4ix = 0
;
;
and KCL at upper circled node
i5 -ix -2ix = 0
which yields: i5=3ix
;
;
plug into KVL equation
-Vt +5(3ix) +4ix = 0
Vt = 19ix
ix = Vt/19
what uart said
i used to make lots of mistakes from less than meticulous handwriting so i reverted to printing.
I suggest something is not transcribed correctly.
You need to work KVL and KCL until they become as natural to you as a Crescent wrench and you have confidence in them.
They will never lie, but one must be meticulous.
Believe me, i have earned the right to preach that message. "Sinners make good saints for they've learned the hard way"
what if your current source were 2i5 instead of 2ix ?
What if the question is to find value of current source that makes your node in question be zero?
check with some other students to verify you are answering right question, then show instructor what KVL and KCL have to say..be prepared, solve for the value of current source that WOULD make ix zero and show him.
old jim