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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

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 c class=

Answer :

Given: Two equation:

[tex]\begin{gathered} y=-\frac{1}{2}x+3 \\ y=\frac{1}{2}x-2 \end{gathered}[/tex]

Required: Solve the system of equation graphically.

Explanation:

The graph of two lines can be drawn as follows:

The blue line is

[tex]y=-\frac{1}{2}x+3[/tex]

And green line is

[tex]y=\frac{1}{2}x-2[/tex]

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.

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