Which expression is equivalent to 1/2a + c - (3/2a - 3/4b) + 1/3c? A. 2a - 3/4b + 1/3c
B. 2a + 3/4b + 4/3c
C. -a + 3/4b + 4/3c
D. -a - 3/4b + 4/3c

step-by-step explanation:

a

step-by-step explanation:

given the 2 equations

- x + y = - 2 → (1)

2x - 3y = 4 → (2)

multiplying (1) by 2 and adding to (2) will eliminate the x- term

- 2x + 2y = - 4 → (3)

add (2) and (3) term by term

(2x - 2x) + (- 3y + 2y) = (4 - 4), simplifying gives

- y = 0 ⇒ y = 0

substitute y = 0 in either of the 2 equations for corresponding value of x

substituting in (2) gives

2x = 4 ( divide both sides by 2 )

x = 2

solution is (2, 0 ) → a