Final answer:
To find the value of I₂ when I₁ = 5 A and I₃ = -2 A, we use the relationship I₁ = I₂ + I₃ and find that I₂ equals 7 A (Option c).
Step-by-step explanation:
The initial part of the question, which asks to simplify the expression 118−61, seems to contain a typo or formatting issue. However, based on the context provided and the principles of circuit analysis and algebra, we can address the latter part of the question related to currents in a circuit. The equations provided are derived from Kirchhoff's rules and Ohm's Law and they allow us to solve for unknown currents, usually denoted as I, in a circuit.
The correct process involves substituting known values and expressions for the currents into the first equation to solve for I₁. However, without additional context or values, we cannot provide a numerical solution to the equation. Arithmetic such as 5 - ( + 3 ) resulting in 2, or 2 - ( - 6 ) resulting in 8, is an example of changing signs before performing addition or subtraction in mathematics, similar to what must be done in the circuit equations.
If I₁ is equal to 5 A and I₃ is equal to -2 A, then I₂ must be found accordingly. From the given equations I₁ = I₂ + I₃, we can substitute to find that I₂ = 5 A - (-2 A) = 7 A. Therefore, the correct answer is that 12 will be equal to 7 A (Option c).