Final answer:
The provided question is incomplete as it does not include the algebraic equations. The answer outlines a strategy used to solve algebraic equations when they are provided but cannot complete the specific task without the full context of the equations.
Step-by-step explanation:
The question is incomplete as the algebraic equations are not provided. Without the complete equations, we cannot determine the value(s) for the variable that would make each algebraic equation a true number sentence. However, we can discuss a strategy for solving such problems when the equations are available:
- Identify the knowns and the values given in the problem.
- Identify the unknown, which is the value of the variable that we need to solve for.
- Choose the appropriate equation that involves the knowns and the unknown.
- Solve the equation by applying algebraic techniques, such as isolating the variable.
- Eliminate terms wherever possible to simplify the algebra.
Finally, check the answer to see if it is reasonable by substituting it back into the original equation.
If a specific equation – like x² + 1.2 x 10^-2x - 6.0 × 10^-3 = 0 – is provided, you may use the quadratic formula, which has the form ax² + bx + c = 0, to find the variable's value. Remember to simplify and check once you've obtained a solution.