Lineaarvõrrandi

Lineaarvõrrandi is a mathematical equation in which the variables appear only in the first power and are not multiplied by each other. The general form of a linear equation with one variable, say x, is ax + b = 0, where a and b are constants and a is not equal to zero. The solution to this equation is x = -b/a. For example, 2x + 4 = 0 is a linear equation. Subtracting 4 from both sides gives 2x = -4, and dividing by 2 yields x = -2.

Linear equations can also involve multiple variables. A linear equation with two variables, x and y, can be written as ax + by = c, where a, b, and c are constants, and at least one of a or b is not zero. The graph of such an equation in a two-dimensional Cartesian coordinate system is a straight line. A linear equation with n variables x1, x2, ..., xn has the form a1*x1 + a2*x2 + ... + an*xn = b, where a1, a2, ..., an, and b are constants, and at least one of the coefficients a_i is not zero.

Systems of linear equations involve multiple linear equations that are considered simultaneously. The solutions to a system of linear equations are the values of the variables that satisfy all equations in the system at the same time. Such systems can be solved using various methods, including substitution, elimination, and matrix methods. Linear equations are fundamental in many areas of mathematics, science, and engineering due to their simplicity and the predictable nature of their solutions.

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