Question
Which method would be best to solve this system?
0.5x-1.4y=5.8
y=-0.3-1/5
(1 point)
Responses
Graphing
Graphing
Substitution
Substitution
Elimination
0.5x-1.4y=5.8
y=-0.3-1/5
(1 point)
Responses
Graphing
Graphing
Substitution
Substitution
Elimination
Answers
GPT-4o mini
To determine the best method for solving the given system of equations, let's first analyze the equations:
1. \(0.5x - 1.4y = 5.8\)
2. \(y = -0.3 - \frac{1}{5}\)
The second equation is already solved for \(y\). This makes it a good candidate for the substitution method, as we can substitute the value of \(y\) from the second equation into the first equation.
Here's why the other methods are less suitable:
- **Graphing**: While you could graph the equations to find the intersection point, this is generally less precise than algebraic methods.
- **Elimination**: This method is more suited for systems of equations where both equations are in standard form.
With this analysis, the best method for solving the system is **Substitution**.
1. \(0.5x - 1.4y = 5.8\)
2. \(y = -0.3 - \frac{1}{5}\)
The second equation is already solved for \(y\). This makes it a good candidate for the substitution method, as we can substitute the value of \(y\) from the second equation into the first equation.
Here's why the other methods are less suitable:
- **Graphing**: While you could graph the equations to find the intersection point, this is generally less precise than algebraic methods.
- **Elimination**: This method is more suited for systems of equations where both equations are in standard form.
With this analysis, the best method for solving the system is **Substitution**.