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☕ {Equation(2) × 2} - Equation(1), we get
→ 2x + 6y - 4z - (2x - y + z) = 22 - 3
→ 2x + 6y - 4z - 2x + y - z = 19
→ 7y - 5z = 19 ----(a)
☕ {Equation(2) × 3} - Equation(3), we get
→ 3x + 9y - 6z - (3x - 2y + 4z) = 33 - 1
→ 3x + 9y - 6z - 3x + 2y - 4z = 32
→ 11y - 10z = 32 ----(b)
☃️ Now, {Equation(a) × 2} - Equation(b), we get
→ 14y - 10z - (11y - 10z) = 38 - 32
→ 14y - 10z - 11y + 10z = 6
→ 3y = 6
→ y = 6/3
→ y = 2
⭐ Putting the value of y in equation (a)
→ 7 × 2 - 5z = 19
→ 14 - 5z = 19
→ - 5z = 19 - 14
→ - 5z = 5
→ z = 5/-5
→ z = -1
⭐ Putting the values of y & z in equation(1)
→ 2x - 2 + (-1) = 3
→ 2x - 2 - 1 = 3
→ 2x - 3 = 3
→ 2x = 3 + 3
→ 2x = 6
→ x = 6/2
→ x = 3
- x = 3
- y = 2
- z = -1
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