Question

Solve the system of equations x – 2y = 0; 2x + y = 5 by Gauss-elimination method.

Answer 1

Answer:

multiplying first equation by 2

2(x-2y)=0

2x-4y=0

-2x-y=-5

-4y-y=-5

y=1

x=2y

x=2

Answer 2

Answer:

Only one solution i.e. x = 2 and y = 1.

Step-by-step explanation:

Given:- The given equations are x – 2y = 0 and 2x + y = 5

To Find:- Solve the equations using Gauss - elimination method.

Solution:-

The given system of equations are x – 2y = 0 and 2x + y = 5.

The matrix form of the equations is  1   - 2   0

                                                            2    1    5

Performing the operation Row2 = Row2 - 2 × Row1, we get

    1              - 2                0

2 - 2 × 1    1 - 2 (-2)     5 - 2(0)

The matrix becomes

1      - 2       0

0      5        5

Here, x - 2y = 0, and 5y = 5 ⇒ y = 1

x = 2 × 1 = 2

There is only one solution of x and y i.e. x = 2 and y = 1.

#SPJ2

https://brainly.in/question/52177173

https://brainly.in/question/48938420