Answer:
Option (b) is correct.
The solution of given system of linear equations is x= 2 and y = 1.
Step-by-step 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.
