Graphing Calculator Activities
Use a graphing calculator to check your answers for Problem 64.
There is another way of telling whether a system of two linear equations in two unknowns is consistent or inconsistent, or whether the equations are dependent, without taking the time to graph each equation. It can be shown that any system of the form
Has one and only one solution if
That it has no solution if
And that it has infinitely many solutions if
For each of the following systems, determine whether the system is consistent, the system is inconsistent, or the equations are dependent.
(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

a)
To verify:
The solution for the system by using graphing calculator.
Given:
Calculation:
The two lines intersect in
b)
To verify:
The solution for the system by using graphing calculator.
c)
To verify:
The solution for the system by using graphing calculator.
d)
To verify:
The solution for the system by using graphing calculator.
e)
To verify:
The solution for the system by using graphing calculator.
f)
To verify:
The solution for the system by using graphing calculator.
g)
To verify:
The solution for the system by using graphing calculator.
h)
To verify:
The solution for the system by using graphing calculator.
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