# Determine whether the ordered pair is a solution to the given system of linear equations.(5,3)x-y=2x+y=8

Determine whether the ordered pair is a solution to the given system of linear equations.
(5,3)
$x-y=2$
$x+y=8$

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Given
$x-y=2$----(1)
$x+y=8$----(2)
The given ordered pair for this system is (5, 3).
The ordered pair is the solution of the system it must be satisfy both the equations.
Step 1
Substitute $x=5$ and $y=3$ in the left side of the equation (1).
$LHS=x-y$
$=5-3$
$=2$
$=RHS$
Substitute $x=5$ and $y=3$ in the left side of the equation(2)
$LHS=x+y$
$=5+3$
$=8$
$=RHS$
Since the ordered pair satisfies the system of linear equations.
Hence, the ordered pair (5, 3) is a solution to the given system of linear equations.