Question

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) =

Answer 1

Given:

$\begin{gathered} x-y=4...........(1) \\ 5x-5y=20...........(2) \end{gathered}$

To find:

Solutions

Explanation:

From equation (1),

$x=4+y...........(3)$

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

$\begin{gathered} 5(4+y)-5y=20 \\ 20+5y-5y=20 \\ 5y-5y=20-20 \\ 0=0 \end{gathered}$

Therefore, the system has infinitely many solutions.

Final answer:

INFINITELY MANY