Question

Given the following system of equations, identify the type of system.x + y = 4x - y = 6consistentinconsistentequivalent

Answer 1

`\begin{gathered} x+y=4_{\text{ }}(1) \\ x-y=6_{\text{ }}(2) \end{gathered}`

Using elimination method:

`\begin{gathered} (1)+(2) \\ x+x+y-y=4+6 \\ 2x=10 \\ x=(10)/(2) \\ x=5 \\ so\colon \\ y=4-5 \\ y=-1 \end{gathered}`

Since the system has a unique solution, we can conclude it is a consistent system