I need help "Solving Linear Systems by Graphing"

3x + y=10
Y= 2x - 5

If you graph each of those equations, the intersection will be the solution. Start by picking a value of X; solve for Y and graph that point. Continue by selecting new values of X

Not too crazy over Perito's answer, but it works. All you need is two points because it's a slope intercept kind of equation.

If you put the equations into the form Y=mX+b, you can find Y when X=0 and you also know the slope from m, so you have a line for each equation.

The intersection of the line is the solution.

Actually,I'd do the problem both ways so you understand both techniques.

Not too crazy over Perito's answer, but it works.

I'm not too crazy about the answer either, except the petitioner asked about solving "by graphing," so I gave the appropriate answer.

pick a value of X; solve for Y and graph that point

Both methods are graphing but one might be easier depending on the problem. Recognizing that they are lines and only 2 points or a slope and intercept are required for each equation are necessary is also important. Pick points that are easy to calculate.

Yes, I too would have opted for a two point plotting, then drawing the line. Now, those points should be as far as possible to minimise errors.