Example Problem of Linear Equations One Variable In Everyday Life

Example Problem Equations the linear variable - Hello faithful Basic Mathematical Formulas met again in the material of the sample questions and discussion. We will learn on this occasion is the one variable linear equation in which the matters that will be discussed this time relating to everyday life. Previously we've covered about Linear Equations and Inequalities One Variable that you should read and understand before listening to the discussion of the problems that exist below. However, if you feel already familiar with the concept of equality and linear inequality one variable, let's just look together the explanation of the following:

Example Problem of Linear Equations One variable

Example Problem 1
Mr. Sarif has a piece of land, rectangular, width of the land is 5 meters shorter than its length. Sarif land roving pack is 50 meters. What is the length and width of the land Mr Sarif?

Solved:

Unknown : itinerant ground = 50 m
Suppose that the length of the ground = x, then the width of the ground = x -5
roving rectangular ground = circumference
50 = 2 (p + l)
50 = 2 (x + x - 5)
50 = 2 (2x - 5)
50 = 4x - 10
50 + 10 = 4x
60 = 4x
60: 4 = x
15 = x
Long ground = x = 15 meters
The width of the ground = x - 5 = 15-5 = 10 meters



[1 9459008] Example Problem 2
Given the number of three consecutive even numbers is 66. Find the smallest number!

Solved:

Unknown : Three of even number amounts to 66
numbers even has a +2 pattern, eg number gena p The first is x, then an even number of second- and third-row is x + 2, and x + 4, so that:

Bil.1 + Bil.2 + Num. 3 = 66
x + (x + 2) + (x + 4) = 66
3x + 6 = 66
3x = 60
x = 20
even number of first = x = 20
even numbers of both = x + 2 = 20 + 2 = 22
even number three = x + 4 = 20 + 4 = 24


Example Problem 3
the value of x which satisfy the equation 3x + 5 = 14 is ...

Solved:
3x + 5 = 14
3x = 14-5
3x = 9
x = 9: 3
x = 3


Example Problem 4
for the equation 4x + y = 12, if x = -1 then y is ...

Solved:
4 (-1) + y = 12
-4 + y = 12
y = 12 + 4
y = 16


Sample Problem 5
the value of x which satisfy the equation 5x- 7 = 3x + 5 is ..

Solved:
5x- 7 = 3x + 5
5x - 3x = 5 + 7
2x = 12
x = 6

Thus the discussion of Example Problem equations n Linear Single Variable we can give on the matter this time. Hopefully what has been described above can make you understand more deeply about how to solve the problems of one variable linear equations. Thank you very much for reading this very well. See you in the discussion about selanjunya.

Share to

Facebook Google+ Twitter


Popular posts from this blog

Units of Size The number of Lusin, Gross, Rim, and Kodi

Example Problem Arithmetic Social About Discount / Rebate

How to Solve Problems of SPLDV with Elimination Method [1945900] Resolving the SPLDV Problem with the Elimination Method - On the discussion of Formulas Basic Mathematics before we have learned together about how to solve SPLDV problem by substitution method . This time we will discuss other methods that can also be used to work on SPLDV problems called the Elimination method. What is meant by the elimination method is to eliminate or eliminate any of the variables and variables to be eliminated must have the same coefficients. If the coefficient of variables is not the same then you must multiply one equation with a certain constant so that there will be variables that have the same coefficients. To understand this method, let's just look at the example of the problem and the solution below: [1945907] Sample SPLDV Problem and Its Solution by Elimination Method [1945904] Example Problem 1: There are two equations, ie 2x + y = 8 and x - y = 10 with x, y R. Find the set of solutions of the system of equations by the method of elimination! Solution: From both equations, you can see the same coefficients possessed by variable y. Therefore, this y variable can we eliminate by summing. Thus the value of x can be determined in the following way: 2x + y = 8 x - y = 10 + 3x = 18 X = 6 2x + y = 8 | X 1 | 2x + y = 8 x - y = 10 | X 2 | 2x - 2y = 20 - 3y = -12 y = -4 Hence, the set The solution of the above equation system is (6, 4). [1945909] [1945909] Mixed Method In addition to using graphical methods, substitution methods, and methods of elimination, the system of equations Linear can also be solved by using a mixed method which is a combination of substitution methods with the method of elimination. The trick is to complete SPLDV with the method of elimination first and then proceed with substitution method. Consider the following example to understand how: Example Problem 2: Determine the set of settlements From the system of equations 2x + y = 5 and 3x - 2y = 11 where x, y R.