General Mathematics · simultaneous equations · manipulative

Where two equations meet

Each equation ax + by = c is a whole line of points that satisfy it. Solving the pair means finding a point that sits on both lines at once.

line 1 line 2 shared point

Line 1 — a₁x + b₁y = c₁

2
1
5

Line 2 — a₂x + b₂y = c₂

1
-1
1

How many solutions?