SOLUTION: Find a system of two equations in two variables,
x1 and x2, that has the solution set given by the parametric representation
x1 = t
and
x2 = 7t − 8,
where t is an
Algebra.Com
Question 1122188: Find a system of two equations in two variables,
x1 and x2, that has the solution set given by the parametric representation
x1 = t
and
x2 = 7t − 8,
where t is any real number. (Enter your answer as a comma-separated list of equations.)
Let x2 = t, then x1 = ?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The parametric representation defines a single equation in two variables -- not a system of two equations.
x1=t
7x1 = 7t
7x1-8 = 7t-8 = x2
So the equation is
7x1-x2-8 = 0
or
7x1-x2=8
or
x2 = 7x1-8
Or it is probably simpler just to do
x2 = 7t-8 = 7x1-8
part 2...
If x2=t then
t = 7x1-8
t+8 = 7x1
x1 = (t+8)/7
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