You don’t need to eliminate x or y. The equation is for a linear graph, so once you’re able to find 2 different points on the graph, you’re good to go.

The simplest solution:

1. Isolate the y:

9y - x = 18

9y = x + 18

y = (x + 18)/9

y = (1/9)x + 2 -> this is the equation for a line in the form of y = mx + c; the x and y values are variable, the m value is the gradient (the rate by which y increases in relation to x), and the c is the y-intercept - or the number you have with 0x.

2. Obtain 2 points on the graph

All that’s left to do is plug 2 random real numbers for x values (i like to use 0, then a random integer). Then plot the resulting two points (x value you chose, resulting y value) then connect the dots.

For your case, notice that the gradient/slope is 1/9? That means that with each +1 increase in x, y increases by 1/9. For example, if you increase the x value by 4 at any given point, the resulting y value increases by 4*(1/9)=4/9

So if you want to avoid fractions (like most normal people would), you should plug multiples of 9 in x, because increasing by 1/9 9 times overall is an increase of 9/9 = 1.

This would make graphing easier.