Answer:
We can solve for y in the equation y = 2y - 2 by substituting y = 2x - 5.
Starting with y = 2y - 2, we substitute y = 2x - 5:
2x - 5 = 2(2x - 5) - 2
Expanding the right side:
2x - 5 = 4x - 12
Next, we isolate y by subtracting 2x from both sides:
-2x - 5 = 4x - 12
Adding 2x to both sides:
-5 = 6x - 12
Adding 12 to both sides:
7 = 6x
Finally, we divide both sides by 6 to solve for x:
x = 7/6
So, y = 2x - 5 = 2(7/6) - 5 = 7/3 - 5 = -14/3.
Therefore, y = -14/3 is the solution to the system of equations y = 2y - 2 and y = 2x - 5.
Explanation: