Expanding each side of the equation:
2(x-1) = 3(2x-1)2x - 2 = 6x - 3
3 - 5(x-1) = x - 23 - 5x + 5 = x - 2
Solving for x:
2x - 2 = 6x - 32 + 3 = 6x - 2x5 = 4xx = 5/4
3 - 5x + 5 = x - 28 - 5(5/4) = x - 28 - 25/4 = x - 232/4 - 25/4 = x - 27/4 = x - 2x = 7/4 + 2x = 15/4
Thus, the solution to the system of equations is x = 15/4.
Expanding each side of the equation:
2(x-1) = 3(2x-1)
2x - 2 = 6x - 3
3 - 5(x-1) = x - 2
3 - 5x + 5 = x - 2
Solving for x:
2x - 2 = 6x - 3
2 + 3 = 6x - 2x
5 = 4x
x = 5/4
3 - 5x + 5 = x - 2
8 - 5(5/4) = x - 2
8 - 25/4 = x - 2
32/4 - 25/4 = x - 2
7/4 = x - 2
x = 7/4 + 2
x = 15/4
Thus, the solution to the system of equations is x = 15/4.