Solve the system of linear equations below. 6x + 3y = 33, 4x + y = 1

Solution:

The system of linear equations to be solved simultaneously are :

6x + 3y = 33 --- (1)

4x + y = 1 --- (2)

Let us use the elimination method to solve.

Multiply equation (2) by 3 and subtract from(1) we have

  6x + 3y = 33
12x + 3y = 3    Subtracting
___________
-6x + 0 = 30

⇒ -6x = 30

⇒ x = -30/6

⇒ x = -5 --- (3)

Substituting (3) in (1) we get, 

⇒ 6(-5) + 3y = 33

⇒ -30 + 3y = 33

⇒ 3y = 33 + 30

⇒ 3y = 63

⇒ y = 63/3

⇒ y = 21 --- (4)

Hence on solving the system of linear equations simultaneously we get,

x = -6 and y = 21

---

Solve the system of linear equations below. 6x + 3y = 33, 4x + y = 1

Summary:

On solving the system of linear equations below. 6x + 3y = 33, 4x + y = 1 we obtain x = -6 and y = 21.