Solving Linear System by Substitution.

Solving Linear System by Substitution.

Procedure to solve linear system by substitution.

1. Solve for one variable in terms of the other. Solve for either variable in one of the equations. If one of the variables has coefficient 1 or -1, choose it, since the substitution method is usually easier this way.

2. Substitute. Substitute for that variable in the other equation. The result is an equation with one variable.

3.Solve. Solve the equation the one that you substitute.

4. Find the Other Value.

5. Find the solution set.

To Solve the System.

{y=2x+1
 {3x+2y =9

Using the substitution method, we substitute 2x +1 for y in the equation 3x+2y=9 to get.

                                   3x+2y=9
                                   3x + 2(2x+)=9

We mow have An equation with only one variable. Now, we solve for X.

                                   3x+4x+2=9
                                            7x+2=9
                                                    7x=7
                                                     7x/7 = 7/7 
                                                      x= 1 
                            Then the x is = to 1 

Solving Linear System By Graphing

*Solving Linear System by Graphing

-Consistent – At Least one Solution and the Graph is Intersecting .

-Inconsistent- Have no Solution and the Graph is Parellel.

-Dependent- Have identical Graph and Infinite numbers of Solution.

-Independent- Equation that have different Graph and no solution.

Slope Intercept Form Formula = Y= mx+b

*  if their slope are different and no solution It is Called Inconsistent or Independent.

* if their slope is Intersecting and have at least one solution it is called Consistent or Dependent

       

Consistent                                                           

 

 

 

 

 

Inconsistent

 

 

 

 

 

Dependent


                               

 

 

Independent

Importance Of Math In Your Daily Lives

Plus,Minus,Times,DivideHow Math is important in our daily lives? 

Actually Math is the very important things that we need to learn, without math we can’t
count our change when we are buying, without math we cannot add,minus,subtract, or multiply in what we need. As we can see, everyday were using math through paying bills,counting our change and more. Everybody think that math is boring or hard to answer ,some says they don’t need math  but they didn’t know that math is important in our daily lives. In our daily lives, were always using math even in the easiest way like buying something, as we can see if we didn’t use math in our daily lives i think we’ve been cheated by other seller or a buyer.

Today every people are using math and no one are not using math, right now we need to learn it because there are many people is cheating at their customers change. Most of the time Adding and Subtracting is the one we use everyday. The first thing that people need to learn is Math. In our society math is the one things to measure a countries property, if math is gone, every country will riot. Mathematics is not just a subject on their timetable but a tool they use in our everyday life. Without math we can’t build our own house because we didn’t know how to measure an area.

Math is everywhere and yet, we may not recognize it because it doesn’t look like the math we did in school. Math in the world around us sometimes seems invisible. But math is present in our world all the time–in the workplace, in our homes, and in life in general,When you buy a car, follow a recipe, or decorate your home, you’re using math principles . Even the presidents all over the world is using Math to count the fund of the country or to count their savings. Mathematics is one of the essential emanations of Human spirit , a things to be value in and for itself.

Without Math, Money changer will be cheated. All of our money will be gone when we don’t know how to use Add,Subtract,Multiply and Divide. Mathematics is not 

just a Subject that we need to pass to complete our education but math is our power so we can’t be cheated by other people. In our Society without knowing math we are Loser. The stunning pictures of far away planets sent by Voyager II could not have had their crispness and quality without such mathematics.

Actually Clock and Remote control is also a math 
because its building with a numbers  , and numbers is a Math. Remote control is consisting of number , numbers that can change the channel of the T,V .
Math Determine the measure of the houses,walls,floors, and the Measure of one country 

so, without Math we cant make the following things.
As we all know, we can’t live without math, we will be hungry and thirsty if we don’t know Math because we cannot buy food if we didn’t know math. 

And That is How Math Is Important in our Lives! ^^

TO GOD BE THE GLORY^^