Selesaikan sistem persamaan linear dua variabel berikut dengan menggunakan metode subtitusi 5x+3y= 16 dan x+3y=8

The solution set for the system of linear equations and is.

Further explanation:

It is given that the system of linear equations are and.

Consider the given equations as follows:

Isolate the variable in terms of from equation (1) as follows:

Therefore, the value of in terms of is.

Now, substitute for in the equation (2) as follows:

The variable is eliminated in the above equation.

Simplify the equation as follows:

Further simplify theequation.

Therefore, the value of is .

Substitute for in the equation (1) and obtain the value of as shown below.

Further simplify the above equation.

Therefore, the value of is .

Thus, the ordered pair for the system of linear equation is .

Check whether the obtained solution satisfies the given equations or not.

Substitute for and for in the equation (1) and check the equation.

The ordered pair satisfies the equation (1).

Substitute for and for in the equation (2) and check the equation.

The ordered pair satisfies the equation (2).

Thus, the solution set for the system of linear equations and is.

Learn more:

1. Which classification best describes the following system of equations?

2. Which polynomial is prime?

3. Write the subtraction fact two ways 10-3?

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Linear equations

Keywords:Substitution, linear equation, system of linear equations in two variables, variables, mathematics,,

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