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Follow the steps to find solutions of linear equation.
What are solutions of linear equation?
A two-variable linear equation is one with the formula ax + by + c = 0, where a, b, c R, a, and b 0. By comparing the coefficients of the variables in the equations, we may determine how many solutions there are to a system of linear equations. The number of solutions can also be determined graphically.
Following points will teach you how to count the number of solutions to a system of two-variable equations.
- If (a1/a2)=(b1/b2), a singular solution will exist. The lines on the graph will cross each other. A consistent pair of linear equations is the name given to this kind of equation.
- There will be an endless number of solutions if (a1/a2) = (b1/b2) = (c1/c2). The lines will be parallel. Dependent pair of linear equations in two variables is the name given to this kind of equation.
- There won't be a solution if (a1/a2) = (b1/b2)≠ (c1/c2). The lines on the graph will be parallel. An inconsistent pair of linear equations is the name given to this kind of equation.
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