Answer:
A linear equation can have no, one or infinite solutions.
Step-by-step explanation:
No Solution:
Consider the equation 8x - 19 = 8x + 19
Subtract 8x from both the sides. We get:
8x - 8x - 19 = 8x - 8x + 19
⇒ - 19 = 19
This is absurd. So, this system of equations has no solution.
One Solution:
For the equation 9x + 5 = 14
⇒ 9x = 9
⇒ x = 1 the only solution to the equation.
Infinite Solutions:
The solution to the equation 3x = 3x are infinite.
Whatever the value of x the equation always remains the same. So, we have infinite values of x that can satisfy the equation.