Final answer:
The student's question involved solving a linear system with substitution, which resulted in a contradictory equation, indicating there are no solutions as the lines are parallel.
Step-by-step explanation:
The question involves solving a system of linear equations using substitution. The given equations are:
- 0.1x = -0.2y (Equation 1)
- 0.3x + 0.6y = -0.6 (Equation 2)
First, solve Equation 1 for x:
- x = -2y (Substituted x in terms of y)
Next, substitute the value of x from Equation 1 into Equation 2:
- 0.3(-2y) + 0.6y = -0.6
- -0.6y + 0.6y = -0.6
- 0 = -0.6
This results in a contradictory statement, indicating that there are no solutions to the system, implying the lines are parallel and do not intersect.