Answer:
B) x = 7, y = 1 is the Solution of the given system.
Step-by-step explanation:
Here, the given system of equation is:
2х - бу = 8 ....... (1)
5x - 4 y= 31 ................. (2)
Now, to solve the given system, we need to eliminate a variable.
To remove variable x from the system, multiply (1) with 5, and (2) with -2 , we get:
10 x -30 y = 40
-10 x + 8y = -62
Add both equations, we get
10 x -30 y -10 x + 8y = 40 - 62
or, -22 y = -22
or, y = 22/22 = 1 ⇒ y = 1
Putting y = 1 in (1) , we get
2x = 8 + 6 y = 8 + 6(1) = 14
or, x = 14/2 = 7
⇒ x = 7
Hence, x = 7, y = 1 is the Solution of the given system.
