← All simulations

Simultaneous Equations — Graphical

\text{line 1}:\; y = x - 2 \\ \text{line 2}:\; y = -x + 4

Solution (x, y)(3, 1)

Line 1 · gradient m₁1

Line 1 · intercept c₁-2

Line 2 · gradient m₂-1

Line 2 · intercept c₂4

Make the two lines cross in the first quadrant (both x and y positive)
Make the lines cross exactly on the vertical line x = 2
Set up a pair whose solution is (3, 1) — the lines must cross there
Make a pair with NO solution (parallel lines)
Make a pair with infinitely many solutions (one line drawn twice)