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marlenemedina247
17.10.2019 •
Mathematics
Selesaikan sistem persamaan linear dua variabel berikut dengan menggunakan metode subtitusi 5x+3y= 16 dan x+3y=8
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Ответ:
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,
,![x + 3y = 8](/tpl/images/0329/2574/5151d.png)
Ответ:
Option 2, A, B, and C is correct
Step-by-step explanation:
edg2020