What kind of system is y = 3x – 5, 2x + y = 8?Question 23Select one:a.Independentb.Inconsistentc.Dependentd.Bizarree.None of these
Question
What kind of system is
y = 3x – 5, 2x + y = 8?
Question 23
Select one:
a. Independent
b. Inconsistent
c. Dependent
d. Bizarre
e. None of these
Solution
The system of equations given is:
- y = 3x - 5
- 2x + y = 8
To determine the type of system, we can solve one of the equations for one variable and substitute it into the other equation.
From equation 1), we have y = 3x - 5.
Substitute y = 3x - 5 into equation 2):
2x + (3x - 5) = 8 5x - 5 = 8 5x = 13 x = 13/5
Substitute x = 13/5 into equation 1):
y = 3*(13/5) - 5 y = 39/5 - 25/5 y = 14/5
So, the solution to the system of equations is x = 13/5 and y = 14/5.
Since there is one unique solution, the system of equations is independent.
So, the answer is a. Independent.
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