SOLUTION: 2a=3b-13
b=2a+7
Use substitution method to solve system .
If system is dependant or inconsistant so indicate.
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Question 37398: 2a=3b-13
b=2a+7
Use substitution method to solve system .
If system is dependant or inconsistant so indicate.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
From
2a = 3b - 13
b = 2a + 7
let us take the given value for b in the second equation and substitute it into the first equation, like this
2a = 3(2a + 7) - 13
2a = 6a + 21 - 13
2a = 6a + 8
-4a = 8
a = -2
Now using b = 2a + 7 we have
b = 2(-2) + 7
b = -4 + 7 = 3
So our solution is (-2, 3) and is a consistent system.
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