To eliminate the parameter from the equations given, we start with the two equations:
- x = 5t
- y = t + 8
First, we solve the first equation for the parameter t:
t = x / 5
Next, we substitute this expression for t into the second equation:
y = (x / 5) + 8
To simplify the equation further, we can find a common denominator:
y = (x + 40) / 5
This gives us the relationship between x and y without the parameter t.
Thus, we have successfully eliminated the parameter and expressed y in terms of x:
y = (x + 40) / 5