How would you solve y=2x+3 and y=2x-2 using elimination method. This is a no solution problem.

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To solve the system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the equations.

Given the equations:
1) y = 2x + 3
2) y = 2x - 2

Since the coefficients of x in both equations are the same (both 2), we can't eliminate x by adding or subtracting the equations directly. However, we can still proceed to determine if there is a solution or not.

To verify if the system has a solution or not, we need to compare the slopes (coefficients of x) and the y-intercepts (constants). In this case, the slopes are the same (2) but the y-intercepts differ (3 and -2).

Since the slopes are the same, the lines are parallel. If the slopes were different, the lines would intersect at a point, indicating a unique solution. However, in this scenario, since the lines are parallel, they will never intersect, meaning there is no solution for the system.

Thus, the answer to the system of equations y = 2x + 3 and y = 2x - 2 is "no solution."