Answer: (5a, 0)
This means x = 5a pairs up with y = 0.
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Step-by-step explanation:
The two lines have the same x-intercept, which means they cross the x axis at the same location. This is the solution to the system since this point is on both lines simultaneously.
To find the x-intercept, plug in y = 0 and solve for x.
(1/5)x+4y = a
(1/5)x+4*0 = a
(1/5)x = a
x = 5a
We don't know the value of 'a', so we cannot determine the numeric value of x.
The x-intercept is located at (x,y) = (5a,0) and this is the solution to the system.