Hi there!
[tex]\large\boxed{(-\frac{5}{3},-\frac{5}{3})}[/tex]
We can begin by setting the two expressions equal to solve for t:
2t - 1 = 5t
Subtract 2t from both sides:
-1 = 3t
Divide both sides by 3:
t = -1/3
Plug in this value of t into x(t) and y(t):
x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3
y(-1/3) = 5(-1/3) = -5/3
Thus:
(-5/3, -5/3) are the corresponding coordinates.
