Solving by substitution
2x-5y=10 ; x-2y=14

The solution of the given system of equation is    x = 50, y  =18

Step-by-step explanation:

Here, the given system of equations are:

2x - 5y = 10 , x - 2y  = 14

Now, from equation (2), we get    x = 14 + 2y

SUBSTITUTE  this value of y in the given equation (1)

We get:  2x - 5y = 10 ⇒   2(14 + 2y) - 5y = 10

or, 28 + 4y - 5y = 10

⇒ 28 - y = 10

or y =  28 - 10  = 18

⇒ y  = 18

Now, if y = 18, SUBSTITUTE this value of y in x = 14 + 2y

⇒ x = 14 + 2y = 14 + 2(18) = 14 + 36 = 50

Hence, the solution of the given system of equation is x = 50, y  =18