A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation?
Answer
A
Infinitely many solutions exist because the two situations describe the same line.
B
Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts.
C
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
D
Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercept.