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Solve the system of equations by graphing.y = 1/2x + 1 y = 1/2x - 2

Sagot :

Answer:

The given system of equations has no solution

Explanation:

Given the pair of equations:

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

From equations (1) and (2), we can write:

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

Subtrac 1/2x from both sides, we are left with no variable x, therefore, the system has no solution