Question

What is the answer for this equation 3X+y=5

Answer 1

The equation

`3x+y=5`

has two variables: x and y.

And since we have only one equation, the variables have infinite possible values, which are related to that equation.

Another way of seeing that is by calling x the independent variable, and then y will be the dependent variable (its value depends on the value of x).

So, we can isolate y on the left side of the equation, to obtain:

`\begin{gathered} 3x+y=5 \\ \\ 3x+y-3x=5-3x \\ \\ y=-3x+5 \end{gathered}`

Now, we see that the above equation represents a line (an infinite set of points), that has a slope -3 and a y-intercept 5.

Therefore, all the points on that line are solutions to the given equation.

If we graph that set of solutions on a xy-plane, we obtain the line below: