Question

Determine wether the point is a solution of the system. (-1,-2) 5x-2y=-1 x-3y=5

Answer 1

Step 1

Given; The system of equation;

`\begin{gathered} 5x-2y=-1--(a) \\ x-3y=5---(b) \\ \text{Required; To know if the point (-1,-2) is a solution to the system} \end{gathered}`

Step 2

Input x=-1 and y=-2 in both equations and find if they will give -1 and 5 respectively.

`\begin{gathered} 5(-1)-2(-2)=-5+4=-1 \\ -1-3(-2)=-1+6=5 \end{gathered}`

Since both equations gave us -1 and 5 respectively when we input x=-1 and y=-2, then we can conclude that the point (-1,-2) is a solution to the system.