What is the ordered pairs that satisfy the equation 7x+4y=-67x+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=-67x+4y=−6

rArr 4y = -7x-6⇒4y=−7x−6

rArr y = -7/4x-6/4⇒y=−74x−64
color(white)("XXXXXXXXX")-6/4 = -1 1/2XXXXXXXXX−64=−112 but for hand calculations its probably better to leave it with the same denominator as -7/4x−74x

Picking any arbitrary value for xx lets you calculate the corresponding value for yy that satisfies the given equation.

Note that if you are looking for integer pairs (x,y)(x,y)
if xx is an integer multiple of 44 minus 22 (x in 4n-2, AAninZZ)
then y will also be an integer.

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