Question

Write an equation with a variable on both sides of the equal sign that has infinitely many solutions. Solve the equation and explain why it has an infinite number of solutions.

A) 2x − 2x = 0
B) 3 (x + 1) = 3x + 3
C) 4x − 4x = 0
D) 5 (2x − 1) = 10x − 5

Answer 1

The equation with infinitely many solutions is 2x - 2x = 0. It has an infinite number of solutions because any value of x will satisfy the equation.

Step-by-step explanation:

The equation with infinitely many solutions is:

A) 2x - 2x = 0To solve the equation, we can combine like terms:

2x - 2x = 0

0 = 0

The equation has an infinite number of solutions because any value of x will satisfy the equation. When we simplify the equation, we get 0 = 0, which is always true. This means that any value of x will make the equation true, resulting in infinitely many solutions.