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\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?

User Navi
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1 Answer

4 votes

Answer:

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

User Steve Ladavich
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