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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-> 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 44233This 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
You can put this solution on YOUR website! Since the second equation is already solved for x, we substitute its value into the first equation...we get
5x - 6y = 32
x = 6 - 3y
and then
5(6 - 3y) - 6y = 32
30 - 15y - 6y = 32
-21y = 2
y = -2/21
Now plug that into the 2nd eqn and get
x = 6 - 3y
x = 6 - 3(-2/21)
x = 6 + 6/21
x = 6 2/7 or 44/7
Our system is consistent and independent.