Determine whether the ordered pair is a solution to the given system of linear equations.(1,2) 3x-y=12x+3y=8

Determine whether the ordered pair is a solution to the given system of linear equations.(1,2) 3x-y=12x+3y=8

Question
Forms of linear equations
asked 2020-10-23

Determine whether the ordered pair is a solution to the given system of linear equations.
(1,2)
\(\left\{\begin{matrix} 3x−y=1 \\ 2x+3y=8 \end{matrix}\right\}\)

Answers (1)

2020-10-24

Consider the system of equations as:
1) \(3X−Y=1\)
2) \(2X+3Y=8\)
Verify if ordered pair (1,2) is solution of (1) and (2).
Substitute \(X=1\) and \(Y=2\) in equation (1).
\(3(1)−2\underset{=}{?}1\)
\(3−2\underset{=}{?}1\)
\(1=1\) (True)
Hence, (1,2) satisfies the equation (1).
Substitute \(X=1\) and \(Y=2\) in equation (2).
\(2(1)+3(2)\underset{=}{?}8\)
\(2+6\underset{=}{?}18\)
\(8=8\) (True)
Hence, (1,2) satisfies the equation (2).
Hence, the ordered pair (1,2) is a solution to the given system of linear equations.

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