Simplification Test 5

2x + 3y = 31 ...(i)
y – z = 4 ...(ii)
x + 2z = 11 ...(iii)
Multiplying equation (ii) by 2 and adding with (iii) we get
x + 2y = 19 ...(iv)
Multiplying equation (iv) by 2 and subtracting (i) from it, we get, y = 7,
From equation (ii) z = y – 4 = 7 – 4 = 3
From equation (iii) x + 2 × 3 = 11 ⇒ x = 5
Now, x + y + z = 5 + 3 + 7 = 15