William W. answered • 11/28/20
Top Algebra Tutor
Since both "x" and "y" are variables, there are many solutions, in fact there are an infinite number of solutions. The "x" is the independent variable, meaning you get to pick a value for "x". Once you do that, then you can solve for "y". For instance, if I arbitrarily select x = 1 then y becomes y = 3 - 4•1 or y = -1 meaning the point (1, -1) is a solution to y = 3 - 4x.
But there are other solutions. If we select x = 0, then y = 3, so (0, 3), is a solution. If I select x = -6 then, again, I can solve for y:
y = 3 - 4(-6) = 3 + 24 = 27 making (-6, 27) a solution.
If we graph the solutions, we see that the have something in common. They all lie on the same line:
And so we often graph the equation to SHOW the solutions.
Holden P.
thank you this helped me alot11/28/20