(a) Find a system of two linear equations in the variables x and y whose solution set is given by the parametric equations x = t and y = 3- 2t.

Brennan Flores

Brennan Flores

Answered question

2021-02-14

(a) Find a system of two linear equations in the variables x and y whose solution set is given by the parametric equations x=t and y =32t.
(b) Find another parametric solution to the system in part (a) in which the parameter is s and y=s.

Answer & Explanation

jlo2niT

jlo2niT

Skilled2021-02-16Added 96 answers

Step 1
(a) To find a system of two linear equations in the variables x and y whose solution set is given by the parametric equations
x=t and y=32t
solve y in term of x
y=32x
2x+y=3
Step 2
b) To Find another parametric solution to the system in part (a) in which the parameter is s and y =s.
x=t...(1)
y=32t...(2)
y=s...(3)
To find t in terms of s
s=32t
t=3s2
Therefore,
x=t=3s2
x=3s2
y=s

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