Given voltage, solve for unknown resistor in a circuit

1. The problem statement, all variables and given/known data
An ohmic resistor (R1 = 3.5 kΩ) and circuit element X are connected in series to a battery of unknown voltage V0. Circuit element X is of unknown resistance. It is observed that the absolute value of the voltage across resistor R1 is 5.0 V.
The battery voltage is measured and found to be equal to 8.0 V.
The resistance of X must be what?

2. Relevant equations
V=IR
Found the current to be 0.0014 amps by doing 5.0 V/3500 kΩ

3. The attempt at a solution
My trouble is that I have worked the problem, but have come up with 2 similar solutions that seem plausible.

Solution 1: 8V = 0.0014(R₁+R₂), solving for R₂ gives 2.21kΩ
Solution 2: Since the total voltage is 8 and R₁ is 5, R₂ must be 3. So then 3V = 0.0014(R₂₎, and solving for R₂ gives 2.14kΩ.

Both attempts are so close together that I have no idea which is right! Are they both more or less correct and one is just more accurate than the other?

 

Thanks! I guess I shouldn't be so lazy. ha