Eliminate the Parameter x=|t-1| , y=t+2

Problem

x=|t−1|,y=t+2

Solution

1. Solve the second equation for the parameter t

y=t+2

t=y−2

2. Substitute the expression for t into the first equation.

x=|(y−2)−1|

3. Simplify the expression inside the absolute value.

x=|y−3|

Final Answer

x=|y−3|

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