Question

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

a) -2
b) -1
c) 1
d) 4​

Answer 1

(c) 1 will be the correct answer

Answer 2

C

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