Answer:
the solution to the system is x = 1 and y = 5/2.
Explanation:
To find the values of x and y, we can simplify each equation in the system and then substitute the value of x into the other equation to find y.
Starting with the first equation:
y - 1 = 3x / 2
2 * (y - 1) = 3x
3x = 2y - 2
Next, we substitute the value of 3x/2 from the first equation into the second equation:
5x + 1 = 4x
x = 1
Finally, we can substitute the value of x = 1 into the first equation to find y:
y - 1 = 3 * 1 / 2
y - 1 = 3 / 2
y = 5 / 2
So the solution to the system is x = 1 and y = 5/2.