Question

Solve the system of linear equations by graphing.y equals negative one half times x plus 3y equals one half times x minus 2 one half comma negative 5 one half comma 5 5 comma one half negative 5 comma one half

Answer 1

Given: Two equation:

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

Required: Solve the system of equation graphically.

Explanation:

The graph of two lines can be drawn as follows:

The blue line is

`y=-(1)/(2)x+3`

And green line is

`y=(1)/(2)x-2`

From the graph, the solution is point of intersection of both lines. So, the solution is (5,0.5). that is (5,1/2).

Final Answer: Option 3 is correct answer.