## Task 5 - V00905

In an electrical circuit, a voltage of 120 V is applied. If the resistance is increased by 10 Ohms, the current decreases by 1 Ampere.

What are the current and resistance?
Let $x$ be the value of current $I$ and $y$ be the value of resistance. Then, with the equation of Ohm's Law $U=R \cdot I$

$$
\begin{aligned}
x y & =120 \\
(y+10)(x-1) & =120
\end{aligned}
$$

The system of equations has the solution $x=4$ and $y=30$, i.e., the current is 4 Amperes and the resistance is 30 Ohms.