Eliminate D from the first two equations: A - B = -54.
Substitute A and B into X and Y equations: X = 32, Y = -32.
Therefore, A=5, B=59, D=0, X=32, Y=-32.
We are given the system of equations:
A=5
B=59
D=0
X=1/2(A+B−D)
Y=D− 1/2 (A+B)
We can solve the system of equations using elimination. First, we can eliminate D from the first two equations by subtracting the second equation from the first equation. This gives us:
A−B=−54
Next, we can substitute the values of A and B into the equations for X and Y. This gives us:
X= 1/2 (5+59−0)=32
Y=0− 1/2 (5+59)=−32
Therefore, the solution to the system of equations is:
A=5
B=59
D=0
X=32
Y=−32