Patrice found a book that was 2 1/4 inches thick. She stacked it with another book with the same thickness. How tall was the sta
ck?
1 answer:
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Answer:
The true statement is that the expression is satisfied for n = -2.
Step-by-step explanation:
Given:
To check:
Left hand side = Right-hand side ( for n = -2)
Proof :
For n = -2
Consider Left hand side of the equation given above.
∴ Left hand side = 4n
= 4×(-2) ......................for n = -2
= -8
Consider Right-hand side of the equation given above
∴ Right-hand side =
Now we get Left hand side equal to Right hand side
i.e. Left hand side = Right hand side
i.e. is true for n = -2
For this case we have the following expressions:
Rewriting the second equation we have:
It is observed that by multiplying the first equation by 2, the second equation is obtained.
Thus, the equations are linearly dependent and since the lines are equal then they are intercepted in infinite points. Therefore, the system has endless solutions.
Answer:
Option D