Question

Solve the system of equations and choose the correct ordered pair.

2х - бу = 8
5x - 4 y= 31
ОА. (7, -1)
ов. (7,1)
Ос. (1,-1)
OD. (8, 2)

Answer 1

B) x = 7, y = 1 is the Solution of the given system.

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.