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

Question
Forms of linear equations

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

2021-03-13

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.

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