# Determine if (1,3)is a solution to given system of linear equationsy-2x=33x-2y=5

Determine if (1,3)is a solution to given system of linear equations
$$y-2x=3$$
$$3x-2y=5$$

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Nathanael Webber

The system of linear equations
$$y-2x=3--(1)$$
$$3x-2y=5--(2)$$
substituting(1,3)in equation(1)we have
$$\Rightarrow3-2(1)=3$$
$$\Rightarrow-3\neq3$$
substituting(1,3) in equation 2,we have
$$\Rightarrow3(1)-2(3)=3$$
$$\Rightarrow-3\neq3$$
Given order doesn't satisfy the given system of linear equation
NO,because substituting the given ordered pair does not yield two true expressions.