Solve the following system of equations and find the value of : . The value of y is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the substitution or elimination method. The equations are designed to be solved by either method, but the substitution method is particularly straightforward.
Key Concept Explanation
The key concept here is the substitution method, where we express one variable in terms of the other from one equation and substitute it into the other equation to solve for the remaining variable.
Step-by-step Solution
1. Solve the second equation for :
2. Substitute into the first equation:
3. Simplify:
4. Combine like terms:
5. Add 12 to both sides:
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