Question

Solve the simultaneous equations, giving your answers in base two.
11x +11y =1001
10x - y =11
Pls help

Answer 1

I will assume your equations are written in base 2
method 1, change everything to base 10, solve, then change answer to base 2
11x +11y =1001---> 3x + 3y = 9 or x + y = 3
10x - y =11------> 2x - y = 3
add them: 3x = 6
x = 2, then from x+y=3, y = 1
So in base 2, x = 10, y = 1

method 2, work in base 2
11x + 11y = 1001 , divide by 11, ----->
x + y = 11
second equation:
10x - y = 11
Add them
11x = 110
divide by 11
x = 10
then from x+y=11, we get y=1

Answer 2

Please could you explain better

Answer 3

Another method

Answer 4

Just make use of the first method it's much easier. Change both equations to base10 which is quite easy, when you get your new equation solve simultaneously then you get your values for x and y. Then convert it back to base 2 by dividing by 2

Answer 5

I dont really understand

Answer 6

I want mathematics teacher

Answer 7

In base 10 not in base 2

Answer 8

I don,t understand🤷🤦🙎🙎🙎

Answer 9

11x+11y=1001 and 10x-y=11

Answer 10

X=110
Y=10

Answer 11

X=10,y=1

Answer 12

Divide 225125 base6 by 101 base 6 in long division

Answer 13

11x+10y=10001