Question

Which of the following equations has infinitely many solutions?

A.
b+2=b+2

B.
b= -b+2

C.
b+2=b-2

D.
b+b=2

Answer 1

A

Explanation:

Equation A is true for all real numbers. It says the quantity b + 2 is equal to itself!

Equation B, solved for b, gives b = 1, so the equation is true only for b = 1.

Equation C, solved for b, gives 2 = -2, which is absolutely false, so the equation has no solutions.

Equation D, solved for b, gives b = 1, so only one solution