Solve the system of equations using the substitution method. Given the system:. The solution is (x, y) = (_____, ____).
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the substitution method to solve a system of linear equations. The first equation is already in the form , which makes it easy to substitute into the second equation.
Key Concept Explanation
The substitution method involves expressing one variable in terms of the other and then substituting this expression into the other equation to eliminate one variable, resulting in a single-variable equation that can be solved.
Step-by-step Solution
1. The first equation is .
2. Substitute into the second equation : .
3. Simplify the equation:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.