Question

The system shown has _____ solution(s).y = x + 12y - x = 6nooneinfinite

Answer 1

The system has No solution

Step-by-step explanation:

Answer 2

Given:

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

To find: The solution for the system

Step-by-step explanation:

Substitute the equation (1) in equation (2) we get,

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

Substitute the x-value in equation (1) we get,

`\begin{gathered} y=4+1 \\ y=5 \end{gathered}`

The solution for the given system is,

`\begin{gathered} x=4 \\ y=5 \end{gathered}`

Final answer: One solution.