Question

For each ordered pair, determine whether it is a solution.

Answer 1

To determine which ordered pair is a solution to the equation we shall substitute the values of x and y in the ordered pair.

Taking the first ordered pair;

$\begin{gathered} \text{For;} \\ 3x-5y=-13 \\ \text{Where;} \\ (x,y)\Rightarrow(9,8) \\ 3(9)-5(8)=-13 \\ 27-40=-13 \\ -13=-13 \end{gathered}$

This means the ordered pair (9, 8) is a solution.

We can also solve this graphically a follows;

Observe from the graph attached that the solution to the equation shown above is indicated at the point where x = 9 and y = 8.

The other ordered pairs in the answer options cannot be found on the line which simply mean they are not solutions to the equation given.

ANSWER:

The ordered pair (9, 8) is a solution to the equation 3x - 5y = -13