Question

Find an ordered pair (x, y) that is a solution to the equation. x-5y=5

Answer 1

Answer:

(x,y)=(0,-1)

Step-by-step explanation:

Observe that the equation $x-5y=5$ can be transformed in the equation of a line

$x-5y=5\\-5y=5-x\\y=\frac{x-5}{5}\\y=\frac{1}{5}x-1$

Since x can take any value then the equation has infinite solutions. But we need only an solution (x,y). Then, taking x=0 we have that $y=\frac{1}{5}*0-1=-1$.

Therefore the ordered pair (x,y)=(0,-1) is a solution of the equation.