 # Determine whether the ordered pair is a solution to the given system of linear equations.(1,2) 3x-y=12x+3y=8 a2linetagadaW 2020-10-23 Answered

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

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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).
$3\left(1\right)-2\underset{=}{?}1$
$3-2\underset{=}{?}1$
$1=1$ (True)
Hence, (1,2) satisfies the equation (1).
Substitute $X=1$ and $Y=2$ in equation (2).
$2\left(1\right)+3\left(2\right)\underset{=}{?}8$
$2+6\underset{=}{?}18$
$8=8$ (True)
Hence, (1,2) satisfies the equation (2).
Hence, the ordered pair (1,2) is a solution to the given system of linear equations.