do the equations x =4y + 1 and x =4y -1 have the same solution?

Question

anonymous · Answer

If you substitute a value into the equations they will not have the same solution, if this is what you are asking.
If x=2, the value of y will be 1/4 in the first equation.
Whereas in the second equation if x=2, the value if y will be 3/4

usukidoll · Answer

let y be any number.For example,  y=0
x = 4(0)+ 1 = 1
x = 4(0) - 1 = -1
We have established a contradiction.

campbell_st · Answer

the easy way to look at these linear equations is to write them in slope intercept form by making y the subject

1st equation  

$$y = \frac{1}{4} x - 1$$

2nd equation, 

$$y = \frac{1}{4} x + 1$$

the lines are parallel, since the both have a slope of 1/4 and different y intersepts, so they have different solutions.