Question

\begin{aligned} &y=2x -1 \\\\ &5x-4y=1 \end{aligned} ​ y=2x−1 5x−4y=1 ​ Is (1,1)(1,1)left parenthesis, 1, comma, 1, right parenthesis a solution of the system?

Answer 1

Therefore, ( 1 , 1 ) is the Solution to the Given Equations

`y=2x-1`

`5x-4y=1`

Explanation:

Given:

`y=2x-1` ..............Equation ( 1 )

`5x-4y=1` ..............Equation ( 2 )

To Find:

x = ?

y = ?

Solution:

`y=2x-1` ..............Equation ( 1 )

`5x-4y=1` ..............Equation ( 2 )

Substituting equation 1 in equation 2 we get

`5x-4(2x-1)=1\\applying\ distributive\ property\ we\ get\\5x-8x+4=1\\\\-3x=1-4=-3\\\\x=(-3)/(-3)=1\\ \therefore x = 1\\`

Substituting 'x' in Equation ( 1 ) we get

`y=2* 1-1\\\\y=1\\\\\therefore y =1\\`

Therefore, ( 1 , 1 ) is the Solution to the Given Equations

`y=2x-1`

`5x-4y=1`