Question

Solve the system of linear equations below.

2x + 5y = 34
x + 2y = 14

x = -26, y = 20

x = 2, y = 6

x = 3, y = 5.5

x = 10, y = 2

Answer 1

Asking the Math Gods...

y=6
x=2

Answer 2

Option (b) is correct.

x = 2 and y = 6 is the solution to the given system of linear equation.

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.