Answer:
Explanation:
Let's get some organization going here and number the equations:
1. A+B=25.6
2. A+C=41.6
3. B+D=25.6 and
4. C-D=19.2
First I am going to solve equation 1 to get new equation 5:
5. B=25.6-A (hold that for a sec) and then solve equation 2 to get new equation 6:
6. C=41.6-A
Now sub equation 5 into equation 3:
25.6-A+D=25.6 and
A-D=0 so
A=D. That's good. Now we move on:
Sub equation 6 into equation 4 to get
41.6-A-D=19.2. But since A = D:
41.6-D-D=19.2 so
41.6-2D=19.2 and
-2D=-22.4 so
D = 11.2 and so does A.
Now we will fill in to get B and C.
In equation 2, with A = 11.2:
11.2+C=41.6 so
C = 30.4.
For B, use the fact that D = 11.2 in equation 3:
B+11.2=25.6 so
B = 14.4
All in all:
A = 11.2
B = 14.4
C = 30.4
D = 11.2
Yikes!!