To find the value of x that will make line A parallel to line B, you need to find the slope of each line and make sure they are equal. The slope of a line is a measure of its steepness, and it is defined as the rise (vertical change) over the run (horizontal change).
The slope of line A is given by the coefficient of x in the equation, which is 5x+9. The coefficient of x is 5, so the slope of line A is 5.
The slope of line B is given by the coefficient of x in the equation, which is 3x+11. The coefficient of x is 3, so the slope of line B is 3.
For two lines to be parallel, they must have the same slope. In this case, the slope of line A is 5, and the slope of line B is 3, which are not equal. Therefore, there is no value of x that will make line A parallel to line B.