Question

The system of equations is graphed. Is there a unique solution, no solution or infinite solution?x + y - z = 3x + y - z = 53x + y - 2z = 5

Answer 1

Step 1

Given;

`\begin{gathered} x+y-z=3--(1) \\ x+y-z=5--(2) \\ 3x+y-2z=5---(3) \end{gathered}`

Step 2

For there to be a solution the 3 lines of the 3 equations will have to meet at a point or fall exactly on themselves. The 3 lines do not meet at a point or fall on themselves. We, therefore, conclude the following.

`The\text{ system of equations graphed has no solution.}`

Answer;

`No\text{ solution}`