## Linear Equation in One Variable Definition

There are many examples of solid/liquid solutions in everyday life. pancake syrup - The syrup that you like to eat on pancakes or waffles is a solution of sugar in ## Linear equations with one, zero, or infinite solutions

Here is one example of a quadratic equation with only one solution: x2 – 6x + 9 In this case, a = 1, b = -6, and c = 9. This gives us: b2 = (-6)2 = 36 4ac = 4 (1) (9) = 36 So, b 2 = 4ac, and thus the discriminant is zero. This means that the quadratic ## Solving Equations with Infinite Solutions or No Solutions

Here is an example: One Solution Example Consider the system of equations: {eq}\left\ {\begin {matrix} 2x+y=5\\ -x+y=2 \end {matrix}\right. {/eq} For this example, a graph

## Equations with infinitely many or no solutions

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