Question

Solve the follow system of equations using substitution: x - 5y = 0-x + 5y = 3

Answer 1

Given the system of equations below

$\begin{gathered} x-5y=0\text{ (1)} \\ -x+5y=3\text{ (2)} \end{gathered}$

Using substitution method:

From equation (1), make x the subject

$\begin{gathered} x-5y=0 \\ x=5y \end{gathered}$

Substitute 5y for x into equation (2)

$\begin{gathered} -x+5y=3 \\ \text{Substitute 5y for x into equation (2) above} \\ -(5y)+5y=3 \\ -5y+5y=3 \\ 0\ne3 \end{gathered}$

Since, the values of x and y can not be determined

Hence, there is no solution to the given system of equations.