Question

An equation is shown.

2(a+b)=c

Solve the equation for b in terms of a and c. Explain your answer.

A. b=c−2−a; subtract both 2 and a from each side.


B. b=c−2a; distribute 2 to get 2a+b, then subtract 2a from each side.


C. b=c+2a/2 ; distribute 2 to get 2a+2b, add 2a, then divide by 2.


D. b = c−2a/2 ; distribute 2 to get 2a+2b, subtract 2a, then divide by 2.

Answer 1

2(a+b)=c
2a + 2b = c
2b = c - 2a
b = (c - 2a)/a

answer
D. b = (c−2a)/2 ; distribute 2 to get 2a+2b, subtract 2a, then divide by 2.