Solve linear equations in the form ax + b = c
Adjust values in real-time and observe mathematical cause-and-effect
Constant Rate of Change: Every unit increase in x causes a constant change of m in y.
Roles, constraints & impacts
Formula Parameter
Y-Intercept (Offset at x=0)
Formula Parameter
Gotchas, units & real-world use
Constant Rate of Change: Every unit increase in x causes a constant change of m in y.
[y units] = [y/x units] × [x units] + [y units]
Cost functions with fixed overhead + per-unit cost, velocity graphs with initial position, and economic supply-demand curves.
Type any linear equation in one variable, like 2(4z + 8) = -40 or x/4 + 1 = 3.
Answer: y = -6
1. Expand brackets: 2(4z + 8) = −40 becomes 8z + 16 = −40.
2. Collect variable terms on one side and numbers on the other: 8z = −40 − 16 = −56.
3. Divide by the coefficient: z = −56 ÷ 8 = −7.
4. Check by substituting back: 2(4·(−7) + 8) = 2(−20) = −40 ✓
Given:
Answer: 4
ax + b = c → x = (c - b) ÷ a. Solve linear equations in the form ax + b = c.
Enter Coefficient of x (a), Constant term (b), Right side value (c) into the calculator. It applies ax + b = c → x = (c - b) ÷ a and shows every step of the working.
An equation where the variable only appears to the first power, such as 3x + 5 = 20. Its graph is a straight line, and it has exactly one solution unless the variable cancels out.
If you are left with a true statement like 5 = 5, every value is a solution. If you get a false one like 5 = 7, there is no solution.
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