


System of linear equations
A solution for the system of equations is a point that lies on each lines of the given equations Example 1: y= 2x5 y= x+6 Solution: To check the possible solutions, let us plug in the x and y value in the given equations. Point (11, 17) for the equation y=2x5 17 = 2*(11)5 17 = 225 17 = 17 for the equation y=x+6 17 = 11+6 17 = 17 So (11, 17) is a solution Point(4,3) for the equation y= 2x5 3=2*(4)5
3=85 3=13, which is not equal. for the equation y=x+6 3=(4)+6 3=2, which is not equal. so (4,3) is not a solution Example 2:
Solution: Here the given point (4,2) lies on the given line.To solve this problem we have to apply the given points in the equation as the value of x and y. Point (4,2) Here x = 4 and y = 2 The given equation is 5x 2y + k = 0applying the values of x and y we are getting 5(4) + 2 (2) + k = 0 20  4 + k = 0 By using the concept system of linear equations,we can solve many problems which we have in our daily life. Example: When I went shopping, I paid $21 for 5 pens and 3 pencils, i paid $24 for 4 pens and 6 pencils.What is the cost of each pen and pencil? In our daily life, We have many problems like the above example. To solve this kind of real problems, we have to use system with linear equations.When this kind of question is had by the students in exam or in their homework, they may find it difficult to do and find the solution.if they apply concept of linear equations here, easily they can solve the problems and get solutions.
Quote on Mathematics
Math is not only solving problems and finding solutions and it is also doing many things in our day to day life. They are: It subtracts sadness and adds happiness in our life. It divides sorrow and multiplies forgiveness and love. Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems? Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”

Math dictionary


