Write as a Vector Equality x=3t , y=2-t , t=4

Problem

x=3*t,y=2−t,t=4

Solution

1. Identify the components of the vector x in terms of the parameter t

x=[[x],[y]]

2. Substitute the expressions for x and y into the vector format.

x=[[3*t],[2−t]]

3. Evaluate the components by substituting the given value t=4 into the expressions.

x=3*(4)=12

y=2−(4)=−2

4. Write the final vector equality using the calculated values.

x=[[12],[−2]]

Final Answer

[[x],[y]]=[[12],[−2]]

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