Linear Equations Help and How To Graph Them!!How To Find The X&Y-Intercepts?

Question

For the systems of linear equations in questions 1-3
Determine how many solutions exist
Use either elimination or substitution to find the solutions (if any)
Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection

4x = 8 and 5y = 15

0.2x + 0.4y = 1.7 and 8.3x - 6.3y = -4.3

x/3 - y/5 = 4 and 3x/4 + 2y/3 = 6

I Really Need Lots Of Help On This

Answer 1

First of all, there are three possibilities in general:

1. The lines intersect at a single point, and so there's one solution. (By far the most common).

2. The lines are parallel, and there are no solutions.

3. The lines are the same, and so there are infinitely many solutions.

All three of the problems above fit into the first group.

If you know how to take the slope of a line, then that's easy to show. If the lines have the same slope, you're in Case 2 or Case 3. If they have different slopes, you're in Case 1.

Solving the first of the three equations is trivial. x = 8/4 = 2 and y = 15/3 = 5. It doesn't get any easier than that.

Maybe you could work on it a bit and then re-ask the more specific questions you still need help with.