Question

Solve the system of equations.

x + 3y = 5
-x + 6y = 4


A) x = 1, y = 2
B) x = 2, y = 1
C) x = 1, y = 1
D) x = 0, y = 2

Answer 1

Option (b) is correct.

The solution of given system of linear equations is x= 2 and y = 1.

Explanation:

Given : System of linear equations

x + 3y = 5

-x + 6y = 4

We have to solve the given system of linear equations.

Consider the given system of linear equations.

x + 3y = 5 .........(1)

-x + 6y = 4 .........(2)

We will sole the system using elimination method.

Add both equation (1) and (2) and eliminate x , we have,

⇒ x + 3y + (-x + 6y) = 5 + 4

Simplify, we have,

⇒ 3y + 6y = 9

⇒ 9y = 9

Divide both side by 9, we have,

⇒ y = 1

Put y = 1 in equation (1) and solve for x, we have,

(1) ⇒ x + 3(1) = 5

⇒ x = 5 - 3

⇒ x = 2

Thus, the solution of given system of linear equations is x= 2 and y = 1.