<u>Answer:</u>
The correct answer option is: infinitely many solutions.
<u>Step-by-step explanation:</u>
We are given the following system of equations:
--- (1)
--- (2)
Dividing equation (2) by 2 to get:
--- (3)
As the equation (3) is same as the equation (1), therefore the system will have infinitely many solutions.
The given information permits us to calculate the circumference (C) of the wheel as follows
Then (as you said correctly!) the same wheel will move
after 16 rolls.
The value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two linear equations:
y = 6x - b ..(1)
..(2)
From the second equation:
-6x + y = -6
After rearranging:
y = 6x - 6 ..(3)
On comparing equation (1) and (3)
b = 6
Thus, the value of b is 6 for which the system of equation will have an infinite number of solutions option third is correct.
Learn more about the linear equation here:
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