Question

5. Tell whether the ordered pair is a solution to the given equation. x - 3y = 1; (4,1)The ordered pair is a solution.The ordered pair is not a solution.

Answer 1

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:

`x\text{ - 3y = 1}`

The ordered pair that may or may not satisfiy the above equation is:

`(\text{ 4 , 1 ) }`

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:

`\begin{gathered} x\text{ = 4 , y = 1} \\ \textcolor{#FF7968}{4}\text{\textcolor{#FF7968}{ -3}}\textcolor{#FF7968}{\cdot(1)}\text{\textcolor{#FF7968}{ = 1}} \end{gathered}`

Next we will simplify both sides of the " = " sign and check whether the two sides are numerically equivalent or not:

`\begin{gathered} 4\text{ - 3 = 1} \\ \textcolor{#FF7968}{1}\text{\textcolor{#FF7968}{ = 1}} \end{gathered}`

Both sides are equal that means that the ordered pair ( 4 , 1 ) satisfies the given equation and; hence, the ordered pair is a solution!