solve the simultaneous equation, giving your answer in base 2
11x+11y=1001
10x -y =10
Solve it in full
What is the answer
dividing by 11 ... x + y = 11
adding equations (to eliminate y) ... 11 x = 101
find x , then substitute back to find y
I don`t understand make it more simple
I don't understand, why did you not break it down, please do
Pls break it down
I don't know what to do
To solve the simultaneous equation, follow these steps:
Step 1: Rearrange the equations to isolate one variable.
Equation 1: 11x + 11y = 1001
Equation 2: 10x - y = 10
Rearranging Equation 2, we have:
y = 10x - 10
Step 2: Substitute the value of y from Equation 2 into Equation 1.
11x + 11(10x - 10) = 1001
Simplify:
11x + 110x - 110 = 1001
Combine like terms:
121x - 110 = 1001
Add 110 to both sides:
121x = 1111
Divide by 121:
x = 9
Step 3: Substitute the value of x into Equation 2 to find y.
y = 10(9) - 10
y = 90 - 10
y = 80
Therefore, the solution to the simultaneous equation is x = 9 and y = 80.
To convert these decimal values to base 2, follow these steps:
For x = 9:
Divide 9 by 2, noting the remainder:
9 ÷ 2 = 4 remainder 1
Divide 4 by 2, noting the remainder:
4 ÷ 2 = 2 remainder 0
Divide 2 by 2, noting the remainder:
2 ÷ 2 = 1 remainder 0
Divide 1 by 2, noting the remainder:
1 ÷ 2 = 0 remainder 1
Read the remainders in reverse order: 1001
So, in base 2, x = 1001.
For y = 80:
Divide 80 by 2, noting the remainder:
80 ÷ 2 = 40 remainder 0
Divide 40 by 2, noting the remainder:
40 ÷ 2 = 20 remainder 0
Divide 20 by 2, noting the remainder:
20 ÷ 2 = 10 remainder 0
Divide 10 by 2, noting the remainder:
10 ÷ 2 = 5 remainder 0
Divide 5 by 2, noting the remainder:
5 ÷ 2 = 2 remainder 1
Divide 2 by 2, noting the remainder:
2 ÷ 2 = 1 remainder 0
Divide 1 by 2, noting the remainder:
1 ÷ 2 = 0 remainder 1
Read the remainders in reverse order: 1010000
So, in base 2, y = 1010000.
Therefore, the solution to the simultaneous equation in base 2 is x = 1001 and y = 1010000.
solve the simultaneous equation giving yo
ur answer in base 2
11x+11y=1001
10x-y=111