Question

Which of the following equations has infinitely many solutions? How do you know?
a) 3x - 7 = 7 - 3x
b) 2x + 8 = 8
c) 4x - 10 = -10 + 4x
d) 5x - 10 = 4x - 10

Answer 1

The answer to this question is “C”

-10 + 10 = − 10 + 10

0 = 0

0 = 0 is a infinite solution because it could be any real number.

Answer 2

a) = 7/3
Isolate the variable by dividing each side by factors that don’t contain the variable

b) = 0
Move all terms that don’t contain x to the right side and solve it

c) = infinite
Any values of x makes the equation true. All real numbers

d) = 0
Solve for x by simplifying both sides of the equation, then isolating the variables