Question

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

Forms of linear equations
ANSWERED
asked 2021-03-12

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

Expert Answers (1)

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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