Question #6443994Fill in the Blank
Algebra-1
Question
Consider the system of equations: . 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 slightly more complex, requiring careful manipulation to isolate and solve for one of the variables.
This question tests the student's ability to solve a system of linear equations using the substitution or elimination method. The equations are slightly more complex, requiring careful manipulation to isolate and solve for one of the variables.
Key Concept Explanation
The key concept here is the substitution or elimination method, where we either substitute one variable in terms of the other or eliminate one variable by adding or subtracting the equations.
The key concept here is the substitution or elimination method, where we either substitute one variable in terms of the other or eliminate one variable by adding or subtracting the equations.
Step-by-step Solution
1. Multiply the first equation by 2:
2. Subtract the second equation from the result:
3. Simplify:
4. Solve for :
5. Substitute
1. Multiply the first equation by 2:
2. Subtract the second equation from the result:
3. Simplify:
4. Solve for :
5. Substitute
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