Question

​ y=2x−1 5x−4y=1 ​ Is (1,1)(1,1) a solution of the system?

Answer 1

The ordered pair
`(1,1)` is a solution of the system of equations

Explanation:

we have

`y=2x-1` -----> equation A

`5x-4y=1` -----> equation B

we know that

If a ordered pair is a solution of the system of equations, then the ordered pair must be satisfy both equations of the system

Verify equation A

Substitute the value of x and the value of y in the equation and then compare

For
`x=1,y=1`

`1=2(1)-1`

`1=1` -----> is true

Verify equation B

Substitute the value of x and the value of y in the equation and then compare

For
`x=1,y=1`

`5(1)-4(1)=1`

`1=1` -----> is true

therefore

The ordered pair
`(1,1)` is a solution of the system of equations