Question

use the method of elimination to solve the following system of equations. if the system is dependent, express the solution set in terms of one of the variables. leave all fractional answers in fraction form.

Answer 1

Given:

`\begin{gathered} x+5y=23 \\ -4x-20y=-92 \end{gathered}`

To solve the given system of equations using elimination, we multiply the 1st equation by -4 first:

Next, we subtrach the second row from the 1st row:

Since they are equal to zero, this is a dependent system or infinitely many solutions.

Therefore,the answer is Dependent System.