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

vestirme4 2021-03-12 Answered

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

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Expert Answer

lamusesamuset
Answered 2021-03-13 Author has 93 answers

Given
xy=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=xy
=53
=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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