Algebra-1

Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method. The goal is to find the values of and that satisfy both equations simultaneously.

Key Concept Explanation
The elimination method involves adding or subtracting the equations to eliminate one of the variables, making it easier to solve for the other 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. Observe the coefficients: the coefficients of are 2 and 4 (in a multiple relationship). Multiply the first equation by 2 to make the coefficients of equal: First equation × 2: (denoted as Equation ③)
2. Subtract the second equation from Equation ③ to eliminate :