What is the ordered pairs that satisfy the equation 7x+4y=-6?

1 Answer
Alan P.
Oct 31, 2015

There is an infinite collection of ordered pairs which satisfy the given equation; a few examples are given in the image below:
enter image source here

Explanation:

7x+4y=-6

rArr 4y = -7x-6

rArr y = -7/4x-6/4
color(white)("XXXXXXXXX")-6/4 = -1 1/2 but for hand calculations its probably better to leave it with the same denominator as -7/4x

Picking any arbitrary value for x lets you calculate the corresponding value for y that satisfies the given equation.

Note that if you are looking for integer pairs (x,y)
if x is an integer multiple of 4 minus 2 (x in 4n-2, AAninZZ)
then y will also be an integer.

Related questions
See all questions in Graphs in the Coordinate Plane
Impact of this question
3029 views around the world
You can reuse this answer
Creative Commons License