Algebra-1

Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method. The given system of equations involves different coefficients, requiring the student to manipulate the equations to eliminate one variable.

Key Concept Explanation
The key concept here is the elimination method, where the equations are multiplied by appropriate factors to make the coefficients of one variable the same, then added or subtracted to eliminate that variable. Once one variable is found, it can be substituted back into one of the original equations to find the other variable.

Step-by-step Solution
1. Multiply the second equation by 2:
2. Simplify:
3. Multiply the first equation by 4:
4. Simplify:
5. Add the modified second equation to the modified first equation:
6. Simplify:
7. Solve for

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