An equation in which all the variables have exponents equal to one is called a linear equation. The following examples are linear equations:
An equation which is not linear is called non-linear. The following examples are non-linear equations:2x + 3 = 0 4(x + 5) = 7
A linear equation with one variable can be solved by isolating the variable. That is, to obtain the solution, a linear equation may be transformed into the form:27 = 3x2 2x2 + 3x = 7 _____ √x + 1 = 4 _ √x = x + 5
x = constantExample, solve 12x - 2 = 9x + 10.
3x - 2 = 10 subtraction of 9x 3x = 12 addition of 2 x = 4 division by 3