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Welcome to a lesson on the parametric representation of a solution set for a linear equation. We should already be familiar with linear equations in the form of, lets say, Y equals 2/3 X minus two, which is a slope-intercept form of a line, as well as two X plus three Y equals 12, which is a standard form of a linear equation. But to define a linear equation more formally, a linear equation with N unknowns, X sub one, X sub two, all the way through X sub N, is an equation that can be put in standard form, or this form here. Where X sub one, X sub two, all the way through X sub N, and B are real numbers, the As are called the coefficients, and B is called the constant term. Notice the As are being multiplied by the unknowns, and B is the number without the variable. A solution to a linear equation is a set of all real numbers C sub one, C sub two, and so on, such that X sub one equals C sub one, X sub two equals C sub two, X sub three equals C sub three, and so on, satisfy the given l