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

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

2021-02-22
Step 1
Determine whether the ordered pair is a solution to the given system of linear equations.
Step 2
Consider the system of equations as:
3X−Y=1 .....(1)
2X+3Y=8 .....(2)
Verify if ordered pair (1,2) is solution of (1) and (2).
Substitute X=1 and Y=2 in equation (1).
3(1)-2=1
3-2=1
1=1 (True)
Hence, (1,2) satisfies the equation (1).
Substitute X=1 and Y=2 in equation (2).
2(1)+3(2)=8
2+6=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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