Determine the ordered pair that satisfies the equation, -5x - 6y = -8.
there are many such pairs.
(8/5,0) and (0,4/3) are the intercepts
PLS help
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.
To determine the ordered pair that satisfies the equation -5x - 6y = -8, we need to find values for x and y that make the equation true.
First, let's rearrange the equation to solve for y:
-5x - 6y = -8
-6y = 5x - 8
Divide both sides by -6:
y = (5/6)x + 4/3
Now, we can choose any value for x and calculate the corresponding value for y. Let's choose x = 0:
y = (5/6)(0) + 4/3 = 4/3
So, the ordered pair that satisfies the equation is (0, 4/3).