SOLUTION: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent.
5x -6y = 32
x = 6 - 3y
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Question 44735This question is from textbook College Algebra
: Solve each system by substitution. Determine whether each system is independent, inconsistent, or dependent.
5x -6y = 32
x = 6 - 3y
This question is from textbook College Algebra
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Since the second one is already solved for x, we can substitute its value into the other equation. so from
5x - 6y = 32
x = 6 - 3y
we get
5(6 - 3y) - 6y = 32
30 - 15y - 6y = 32
-21y = 2
y = -2/21
then plug that back into equation two and get
x = 6 - 3y
x = 6 - 3(-2/21)
x = 6 + 6/21
x = 6 + 2/7
x = 6 2/7 or 44/7
Whenever you get one distinct solution, like we have here, (44/7, -2/21), we have a consistent and independent system...
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