Attempt following question by selecting a choice to answer. c Identify the graph that represents the system of linear equations. x - 2y = 2 3x = 6(y + 1)B c A. cGraph 4 B. cGraph 1 C. cGraph 2 D. cGraph 3

Step 1: The given two linear equations are x - 2y = 2 and 3x = 6(y + 1).

Step 2: Write each equation in slope-intercept form.

x - 2y = 2
→-2y = -x + 2
→y = x2 - 1

3x = 6(y + 1)
→ 3x = 6y + 6
→y = x2 - 1

Step 3: Graph both equations.

Step 4: From the graph, the graphs of two linear equations are coincide. So, the given system of linear equations has an infinite number of solutions.

Step 5: To check whether the given two equations have the same solution, take any point on the line and substitute into two given equations.
Take the point (2, 0) and substitute in the given two equations.
x - 2y = 2 → 2 - 2(0) = 2 → 2 = 2
3x = 6(y + 1) → 3(2) = 6(0 + 1) → 6 = 6

Step 6: Among the graphs, Graph 1 represents the exact graphs of the given system of two linear equations.

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