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 ->  College  -> Linear Algebra -> 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      Log On


   

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(13198) About Me  (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