Question

what are three solutions for 5x+7y=19

Answer 1

Pick a number for \(x\). Plug it into the equation, and find the value of \(y\) that makes the equation true. I always like to use 0 for things like this, because that usually makes the arithmetic/algebra simpler.
\[5x+7y=19\]\[5(0)+7y=19\]\[7y=19\]\[y=\frac{19 } {7 }\]So one solution is \((0,\dfrac{19}{7})\)

Now you know how to do it, generate 3 solutions of your own.

Answer 2

actually there are more than 3 solutions to pick from

Answer 3

5x+7y=19
7y=19-5x
y=(19/7) - (5/7)x this is a linear function