Given that 5x-2y = 9 and 3x-2y = 7, find x.

a) - 2

b) - 1

c) 1

d) 4

C

Step-by-step explanation:

Given the 2 equations

5x - 2y = 9 → (1)

3x - 2y = 7 →) 2)

Multiplying (2) by - 1 and adding to (1) eliminates the term in y

- 3x + 2y = - 7 → (3)

Add (1) and (3) term by term

(5x - 3x) + ( - 2y + 2y) = (9 - 7), that is

2x = 2 (divide both sides by 2)

x = 1 → C

(c) 1 will be the correct answer