Answer: True.
Step-by-step explanation:
The statement is:
"A linear equation has ONE solution when the variable equals zero."
First, a generic linear equation can be written as:
y = a*x + b
Where a and b are known values.
If the variable equals zero, we have:
y = a*0 + b = b
y = b.
Then it has only one solution if x = 0.
So the statement is true, but it is also true for any value in the variable.
So if we rewrite it as (for example):
"A linear equation has one solution when the variable equals 4"
y = a*4 + b.
Because a and b are known, this equation also does have only one solution.