Hello there! So you may have already seen my previously postedquestion, which is

Question

Hello there! So you may have already seen my previously postedquestion, which is part a to this two part question in which thisis part b. Part a of this question asked:
Find a system of two linear equations in the variablesx1,x2, and x3whose solution set isgiven by the parametric equations x1= t, x2=1 + t, and x3= 2 - t. Part b of this question asked: Find another parametric solution to the system in part (a) inwhich the parameter is s and x3= s If only one part can be answered, could you please provide mewith a full solution to part b, if not both parts. It would beappreciated. Thank you very much! Hello there! So you may have already seen my previously postedquestion, which is part a to this two part question in which thisis part b. Part a of this question asked:
Find a system of two linear equations in the variablesx1,x2, and x3whose solution set isgiven by the parametric equations x1= t, x2=1 + t, and x3= 2 - t. Part b of this question asked: Find another parametric solution to the system in part (a) inwhich the parameter is s and x3= s If only one part can be answered, could you please provide mewith a full solution to part b, if not both parts. It would beappreciated. Thank you very much! If only one part can be answered, could you please provide mewith a full solution to part b, if not both parts. It would beappreciated. Thank you very much!

Explanation / Answer

x1 + x2 + 2x3 = 5 2x2 - x3 = 3x1
Substitute x3 = s
We have x1 + x2 +  2s = 5 ----------------------------> Equation 1 2x2 - s = 3x1 -----------------------------------------------> Equation2
Multiply 2 to Equation1 and subtract to get the value ofx1 Similarly Solve for x2
x1 = 2 - s x2 = 3 - s x3 = s

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