Answer:
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
