Question
Which method would be best to solve this system?
0.5x - 1.4y = 5.8
y = -0.3x - 1/5
Answer Options:
Graphing
Substitution
Elimination
0.5x - 1.4y = 5.8
y = -0.3x - 1/5
Answer Options:
Graphing
Substitution
Elimination
Answers
Answered by
GPT-4o mini
To solve the given system of equations, the most suitable method is **substitution**.
Here’s why:
1. The second equation is already solved for \( y \) (it’s in the form \( y = mx + b \)). This makes it easy to substitute the expression for \( y \) from the second equation into the first equation.
2. Using substitution typically simplifies the process when one of the equations is already solved for one variable.
Using substitution, you would replace \( y \) in the first equation with the expression from the second equation, allowing you to solve for \( x \) directly.
While graphing and elimination are valid methods, graphing can be less precise without a graphing tool, and elimination would require manipulating both equations to eliminate one variable, which may take more steps compared to substitution in this case.
Therefore, the best method to solve this system is **substitution**.
Here’s why:
1. The second equation is already solved for \( y \) (it’s in the form \( y = mx + b \)). This makes it easy to substitute the expression for \( y \) from the second equation into the first equation.
2. Using substitution typically simplifies the process when one of the equations is already solved for one variable.
Using substitution, you would replace \( y \) in the first equation with the expression from the second equation, allowing you to solve for \( x \) directly.
While graphing and elimination are valid methods, graphing can be less precise without a graphing tool, and elimination would require manipulating both equations to eliminate one variable, which may take more steps compared to substitution in this case.
Therefore, the best method to solve this system is **substitution**.