Write an equation that has the given number of solutions. A. No solution

B. infinitely many solution

b

Step-by-step explanation:

A) x+5=x+3

B) x+5=5+x

Step-by-step explanation:

A) If an equation has no solutions then when it is algebraically solved it will be an untrue statement.

For example, x+5=x+3. To solve subtract x from both sides. This becomes 5=3, which is not a true statement. Therefore, there are no solutions.

B) If an equation has infinite solutions then when it is algebraically solved it will be a statement that is always true.

For example, x+5=5+x. To solve first subtract x from both sides. This equals 5=5, which is always true. Therefore, there are infinite solutions.

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)