177k views
4 votes
A+B=25.6
A+C=41.6
B+D=25.6
C-D=19.2

Solve for A, B, C, and D.

User Ji Cha
by
7.9k points

1 Answer

4 votes

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!!

User Darkbound
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories