Expanding each side of the equation:
2(x-1) = 3(2x-12x - 2 = 6x - 3
3 - 5(x-1) = x - 3 - 5x + 5 = x - 2
Solving for x:
2x - 2 = 6x - 2 + 3 = 6x - 25 = 4x = 5/4
3 - 5x + 5 = x - 8 - 5(5/4) = x - 8 - 25/4 = x - 32/4 - 25/4 = x - 7/4 = x - x = 7/4 + x = 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 -
3 - 5x + 5 = x - 2
Solving for x:
2x - 2 = 6x -
2 + 3 = 6x - 2
5 = 4
x = 5/4
3 - 5x + 5 = x -
8 - 5(5/4) = x -
8 - 25/4 = x -
32/4 - 25/4 = x -
7/4 = x -
x = 7/4 +
x = 15/4
Thus, the solution to the system of equations is x = 15/4.