a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x1 - 8x2 - 6x3 = 8 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 21PPS
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plz do not use the topics like rank, vector spaces, subspaces, column spaces, etc. or their associated theory to explain part C

a. Write the solution set to the following equation in parametric vector form (consider ₁ to be
the basic variable).
x18x2 - 6x3 = 0
x = x₂
+x3
b. Write the solution set to the following equation in parametric vector form (consider ₁ to be
the basic variable).
6x3 = 8
x1 -
8x2
x =
+x2
+x3
c. How do the graphs of the solutions sets to the equations in parts a and b differ?
Transcribed Image Text:a. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). x18x2 - 6x3 = 0 x = x₂ +x3 b. Write the solution set to the following equation in parametric vector form (consider ₁ to be the basic variable). 6x3 = 8 x1 - 8x2 x = +x2 +x3 c. How do the graphs of the solutions sets to the equations in parts a and b differ?
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