Determine the ordered pair that satisfies the equation, -5x - 6y = -8.

3 answers

PLS help
there are many such pairs.
(8/5,0) and (0,4/3) are the intercepts
The interesting question would have been:
Determine the ordered pairs with integers numbers that satisfies the equation.

This falls under the topic of diophantine equations, (only integers allowed).
Your equation simplified is 5x + 6y = 8
With a little guessing we see that (-2,3) is one such pair
Once you have one pair, you can find an infinite number of other pairs by using the slope of the given line.
e.g. the slope is -5/6 or 5/-6
so by subtracting 5 from the y value, and adding 6 to the x value will be another, or adding 5 to the y value, and subtracting 6 from the x will yield a new one.
Repeating this process will yield as many as you want.