Answer:
Option (b) is correct.
x = 2 and y = 6 is the solution to the given system of linear equation.
Step-by-step explanation:
Given: The system of linear equation
2x + 5y = 34
x + 2y = 14
We have to solve the given system of linear equations.
Consider the given system of linear equation
2x + 5y = 34 .....(1)
x + 2y = 14 .......(2)
We solve the syatem using elimination method,
Multiply equation (2) by 2, we get,
(2) ⇒ 2x + 4y = 28 .....(3)
Subtract equation (1) and (3) , we have,
2x + 5y - (2x + 4y) = 34 - 28
Simplify, we get,
y = 6
And put y = 6 in (2), we get,
x + 2(6) = 14
x = 14 - 12
x = 2
Thus, x = 2 and y = 6 is the solution to the given system of linear equation.
