application of sletv

1. Application of Systems Linear
Equations in Two Variables
Created by :
Sri Widya Permatasari
0601408037

2. What do we Learn ?
• We will find the solution of systems linear
equations in two variables in daily life.

3. Example of Problem
Shendy want
to buy a
glass of juice
and 3 burger
Patrick want
to buy a
glass of juice
and 2 burger Rp.
25.000
Rp.
20.000
Spongebob
want to buy
2 glass of
juice and 1
burger
??????

5. Steps
1. We change the goods in variables.
= x
= y
2. Mathematical Modelling
2x + y = 25000
x + 2y = 20000

6. 3. Solution
Elimination
2x + y = 25000 x2 4x + 2y = 50000
X + 2y = 20000 x1 x + 2y = 20000
3x = 30000
x = 10000
Substitution
X + 2y = 20000
10000 + 2y = 20000
2y = 10000
y = 5000

7. 4. Answer the problem
A glass of juice and 3 burger = .... ?
x + 3y = 10000 + 3(5000)
= 10000 + 15000
= 25000

8. So, Shendy must pay for a
glass of juice and 3 burger is
Rp. 25.000