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

Answer:

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

$y=2x-1$  

$5x-4y=1$

Step-by-step 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

$5x-4(2x-1)=1\\applying\ distributive\ property\ we\ get\\5x-8x+4=1\\\\-3x=1-4=-3\\\\x=\frac{-3}{-3}=1\\ \therefore x = 1$

Substituting 'x' in Equation ( 1 ) we get

$y=2\times 1-1\\\\y=1\\\\\therefore y =1$

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

$y=2x-1$  

$5x-4y=1$