Question

50 POINTS!!!!!! AND BRAINLIEST!!! PLEASE HELP. SAT.

Answer 1

Answer:

2b -a

a-2c

Step-by-step explanation:

a = b+c

We want to find b-c

Solve the first equation for b

b = a-c

and for c

c = a-b

b-c in terms of b and a  

using c = a-b

b - (a-b)

Distribute the minus sign

b - a +b

Combine like terms

2b -a

b-c in terms of c and a  

using b = a-c

(a-c) -c

a-c -c

Combine like terms

a-2c

Answer 2

Answer:

In terms of b and a = 2b - a

In terms of c and a = a - 2c

Step-by-step explanation:

a = b + c (given)

adjusting the equations to fit with the conditions of the question, we get:

b = a - c .....(1) and                 c = a - b ......(2)

(I) In terms of b & a

since c = a - b    (from eqn. 2)

= b - (a - b)      (replace c with (a - b))

= b - a + b      (two negatives make a positve)

= 2b - a

ii) In terms of c & a  

since b = a - c    (from eqn. 1)

= (a - c) - c         (replace b with (a - c))

= a - 2c

Hope this helps!