How to Solve Problems of SPLDV with Graph Method

How to Solve SPLDV Problem With Graph Method - Hello friend Basic Mathematical Formula You need to know that in determining the set of solutions of a system of linear equations two variables there are many ways or methods that can be done, one of them is with Using the graph method. As the name implies, this method uses graphs in solving SPLDV problems. The steps to be taken in this method are:

1. First draw graphs of each equation in a cartesius diagram.
2. Then specify the intersection points of both graphs.
3. It is the cutting point that later becomes the solution of the SPLDV.

Sample Problem SPLDV and How to Solve it

Let's just practice it to solve the following problem:

Example Problem 1:

Find the set of solutions of the system of equations x + y = 5 and ] for x, y ∈ R using the graph method.

Solution:

Determine the first point of the gais-line on the system of equations With the coordinate axes like the following:

[1945904]

x + y = 5

x

0	5
] y 5	0
( X, y) (0, 5)	(5, 0)

x - y = 1

1

(x, y)

x	0
y	-1	0
(0, -1)

Based on the results in ats, we can illustrate The graph is as follows:

[194590]

[1945904]

The coordinates of the points of intersection of both graphs are (3, 2). Thus, the set of solutions of the system of equations x + y = 5 and x - y = 1, for x, y ∈ R is (3, 2).

Sample Problem 2:

Find the set of completions of The system of equations x + y = 3 and 2x + 2y = 10 for x, y ∈ R with the graph method.

Solution:

We specify the point of intersection of the line- Line in the system of equations with coordinate axes.

x + y = 3

X		3
] 3	0
( x, y )	(0, 3)	(3, 0)