Question

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

Answer 1

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

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