In construction of a stair
If 10 inches per step how many steps to go to a story up or about 10 foot
10 feet is 120 inches
Slope is 10 inches
10x = 120
That is a linear equation you then solve in your head the answer is 13 steps
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There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
Linear algebra is used to analyze systems of linear equations. Oftentimes, these systems of linear equations are very large, making up many, many equations and are many dimensions large. While students should never have to expect with anything larger than 5 dimensions (R5 space), in real life, you might be dealing with problems which have 20 dimensions to them (such as in economics, where there are many variables). Linear algebra answers many questions. Some of these questions are: How many free variables do I have in a system of equations? What are the solutions to a system of equations? If there are an infinite number of solutions, how many dimensions do the solutions span? What is the kernel space or null space of a system of equations (under what conditions can a non-trivial solution to the system be zero?) Linear algebra is also immensely valuable when continuing into more advanced math topics, as you reuse many of the basic principals, such as subspaces, basis, eigenvalues and not to mention a greatly increased ability to understand a system of equations.
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Pros: There are many real life situations in which the relationship between two variables is quadratic rather than linear. So to solve these situations quadratic equations are necessary. There is a simple equation to solve any quadratic equation. Cons: Pupils who are still studying basic mathematics will not be told how to solve quadratic equations in some circumstances - when the solutions lie in the Complex field.
Quadratic equations can be used in many real world situations, particularly in the fields of business, engineering, and science. They can be used to help predict how much a business will earn or lose and thus allow that business to figure out how to maximize its profit. Kayakers also use these equations to determinate their speed while traveling up or down a river.