Question 147698
First, multiply the first equation 4x + y = 1 by 2. You'll end up with the following:

2(4x + y =1); 8x + 2y = 2. Now you may eliminate the 2y; see below

8x + 2y = 2
x  - 2y = -2

Cancel out the 2y. You will now have 9x = 0 so X = 0

Now, plug 0 into the x value in the first equation so you can then solve for y.

4x + y = 1
4(0) +y = 1
0 + y = 1
y = 1 - 0
y = 1

X = 0 and y = 1

Now plug in these values into the first equation:

4x + y = 1
4(0) + 1 = 1
0 + 1 = 1
1 = 1  YOU'RE DONE.