Help with this system of equations!! (explain step by step)

Hi
4x+7y=41
x-7y=-16
We need to solve x-7y=-16 for x
So let's start by adding 7y to both sides
x-7y+7y=-16+7y
x= 7y-16
Now substitute 7y-16 for x in 4x+7y=41
4x+7y=41
4(7y-16)+7y=41
35y-64=41
Add 64 to both sides so we can eliminate the other 64
35y-64+64=41+64
35y=105
We need to divide 35 to both sides so we find the value for y
35y/35=105/35
y=3
Now we have the y value, with they y value we can also find the x value by
substitute 3 for y in x=7y-16
x=7y-16
x=7(3)-16
x= 21-16
x= 5
Answer: x=5 and y=3
( 5,3)
I hope that's help:0