Mathematics
Linear Equations
A linear equation in one variable has the form ax + b = 0. Solve by isolating x. Linear equations are the foundation of algebra and appear in every quantitative subject.
How to Approach Linear Equations
- 01
Move variables to one side
Add or subtract terms so all x-terms are on the left and constants are on the right.
- 02
Combine like terms
Sum the x-coefficients on the left and the constants on the right.
- 03
Divide to isolate x
Divide both sides by the coefficient on x. Check by substituting back into the original equation.
Frequently Asked Questions
What makes an equation 'linear'?
The variable appears only to the first power — no x², no √x, no 1/x. The graph is always a straight line.
What if I get 0 = 0 at the end?
The equation is an identity — every value of x is a solution. If you get something false like 0 = 5, there's no solution.
How do systems differ?
A system has multiple equations in multiple variables. Solve by substitution, elimination, or matrix methods. ScanSolve picks the fastest method automatically.
Related Topics
More step-by-step guides in Mathematics and adjacent subjects.
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