To determine whether the ordered pair is a solution to the given equation we will follow the process. The equation given to us is as follows:
[tex]x\text{ - 3y = 1}[/tex]The ordered pair that may or may not satisfiy the above equation is:
[tex](\text{ 4 , 1 ) }[/tex]To determine whether the ordered pair staisfies the given equation we will simply plug in the respective values of the ordered pair ( x and y ) into the given equation as follows:
[tex]\begin{gathered} x\text{ = 4 , y = 1} \\ \textcolor{#FF7968}{4}\text{\textcolor{#FF7968}{ -3}}\textcolor{#FF7968}{\cdot(1)}\text{\textcolor{#FF7968}{ = 1}} \end{gathered}[/tex]Next we will simplify both sides of the " = " sign and check whether the two sides are numerically equivalent or not:
[tex]\begin{gathered} 4\text{ - 3 = 1} \\ \textcolor{#FF7968}{1}\text{\textcolor{#FF7968}{ = 1}} \end{gathered}[/tex]Both sides are equal that means that the ordered pair ( 4 , 1 ) satisfies the given equation and; hence, the ordered pair is a solution!
