Question

Solve the system of linear equations by graphing

Answer 1

I don’t see the equations — could you paste the system you want solved?

Meanwhile, here is a quick procedure and a short example so you can solve any 2×2 system by graphing.

Procedure
1. Put each equation into slope–intercept form y = mx + b (or identify intercepts if easier). For vertical lines (x = k) use that directly.
2. On a coordinate plane, graph each line:
- For y = mx + b: plot (0,b) then use slope m = rise/run to place a second point.
- For Ax + By = C: you can find x- and y-intercepts by setting y = 0 and x = 0.
3. The intersection point of the two lines is the solution (x,y).
4. Special cases:
- If lines intersect at one point → one unique solution.
- If lines are parallel (same slope, different intercepts) → no solution.
- If lines coincide (same equation) → infinitely many solutions.

Example
Solve by graphing:
y = 2x + 1
y = −x + 4

Graphing method:
- First line: intercept (0,1), slope 2 → another point (1,3).
- Second line: intercept (0,4), slope −1 → another point (1,3).

Both lines pass through (1,3), so the intersection is (1,3). Check: 3 = 2(1)+1 and 3 = −1(1)+4, both true. So the solution is (1,3).

If you paste your specific system I’ll solve it by graphing (and show the algebraic check).