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Solve the system using substitution. (If there are infinitely many solutions, enter INFINITELY MANY. If there is no solution, enter NO SOLUTION.)x − y = 45x − 5y = 20(x, y) =

Respuesta :

Given:

[tex]\begin{gathered} x-y=4...........(1) \\ 5x-5y=20...........(2) \end{gathered}[/tex]

To find:

Solutions

Explanation:

From equation (1),

[tex]x=4+y...........(3)[/tex]

Substituting equation (3) in (2) we get,

[tex]\begin{gathered} 5(4+y)-5y=20 \\ 20+5y-5y=20 \\ 5y-5y=20-20 \\ 0=0 \end{gathered}[/tex]

Therefore, the system has infinitely many solutions.

Final answer:

INFINITELY MANY

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