Question

solve the following by setting up the proper equations to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). enter your answer in (x, y, z) format.

three batteries are connected in series so that the total voltage is 65 volts. the voltage of the first battery (x) is twice the voltage of the second battery (y), and \\(\frac{1}{5}\\) the voltage of the third battery (z). find the actual voltage of each battery.

Explanation:

Define the system of equations

Using the Algebraic Modeling knowledge point

$$
LATEXBLOCK0
$$

Express variables in terms of x

Using the Three Variable Systems knowledge point

$$
LATEXBLOCK1
$$

Substitute and solve for x

Using the Algebraic Substitution knowledge point

$$
LATEXBLOCK2
$$

Calculate y and z

Using the Basic Arithmetic Operations knowledge point

$$
LATEXBLOCK3
$$

Answer:

(10, 5, 50)