Answer:
Explanation:
The expression "ax b=0" may be missing key information. There is no "y" term and, as written, it makes no difference what the value of x is, unless a and b are also variables and not constants. Also, only one equation is given. If a "solution" is to be found, there must be either another equation or condition the information needed to find a "solution."
Let's answer the following question, instead.
Which of the following statements is true about linear equations of the form y = mx + b? and y = m1x + c.
In this case, a solution is the point that both lines intersect (if they do intersect at all). m is the "slope" of the function and b and c are the y-intercepts (the value of y when x is equal to zero).
YES is True. No is False.
A. They always have a unique solution. YES, as long as the slopes (m) are different.
B. They may have no solution. YES, if the slopes (m) are the same and the y-intercepts (b and c) are different. Lines with the same slope are parallel. They have a lot in common, but will never meet.
C. They may have infinitely many solutions. YES, if the slopes (m) and y-intercepts are the same. The lines overlap and so all points are solutions.
D. They have a solution only if a ≠ 0. No. If the slopes are different, they will have a solution. a, the y-intercept6, merely changes the solution.