solve 11x+11y=1001 10y+y=11

11x+11y=1001

10y+y=11

11y=11 or y=1, put that into the first equation
11x+11*1=1001 subtract 11 from each side
11x=990
x=990/11=90

is this in binary?

To solve the system of equations:

11x + 11y = 1001 ----(1)
10y + y = 11 ----(2)

Let's solve equation (2) for y:
Combining the terms on the left side, we get:
11y = 11

Dividing both sides of the equation by 11, we find:
y = 1

Now, substitute the value of y into equation (1):
11x + 11(1) = 1001

Simplifying the equation, we have:
11x + 11 = 1001

Subtracting 11 from both sides of the equation:
11x = 990

Dividing both sides of the equation by 11, we find:
x = 90

Therefore, the solution to the system of equations is: x = 90 and y = 1.