Solve for x in the simultaneous equation 2x+y=3,5x-2y=12

x = 2

Step-by-step explanation:

Given the 2 equations

2x + y = 3 → (1)

5x - 2y = 12 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y - term

4x + 2y = 6 → (3)

Add (2) and (3) term by term

(5x + 4x) + ( - 2y + 2y) = 12 + 6, that is

9x = 18 (divide both sides by 9)

x = 2