Linear Equations in Two Variables

2x + 3y = 5, x - 2y - 3 = 0

A solution of a linear equation is a viable pair of values, one for x and the other for y, which makes the two sides of the equation equal.

Substitute the values into the equation and check if the left-hand side (LHS) equals the right-hand side (RHS).

<p>An equation is a linear equation in two variables if it can be put in the form ax + by + c = 0, where a, b, and c are real numbers and a and b are not both zero.</p> Signup and view all the answers

<p>a² + b² ≠ 0 ensures that the equation is not degenerate, meaning it represents a valid linear equation.</p> Signup and view all the answers

<p>Because when substituted, LHS = 2(1) + 3(7) = 2 + 21 = 23, which is not equal to the RHS.</p> Signup and view all the answers