Step 1: Build the Equations

The factory built {{ prob.total }} units total today. Bots (x) use {{ prob.px }} gears each, and Drones (y) use {{ prob.py }} gears each. In total, they used {{ prob.rev }} gears.

Drag values to complete the equations

Quantity:
{{ slots.eq1Total.val }}
Gears:
{{ slots.eq2Px.val }}
{{ slots.eq2Py.val }}
{{ slots.eq2Rev.val }}
{{ item.val }}

Step 2: Find the Balance

Adjust the number of Bots () and Drones () until BOTH equations are perfectly balanced.

{{ guessX + guessY }}
{{ prob.total }}
Balanced Unbalanced
{{ guessX * prob.px + guessY * prob.py }}
{{ prob.rev }}
Balanced Unbalanced
Bots (x): {{ guessX }}
Drones (y): {{ guessY }}

Step 3: Graph the System

Drag the colored points to the correct x and y intercepts to graph the lines. Where they cross is the solution!

x-int:
y-int:
x-int:
y-int:
Intersection Found!
verified

System Solved!

You found the exact combination that satisfies both conditions.

Bots
Drones
{{ dragState.item.val }}