The total cost of five oranges is 5 rupees more than twice the total cost of five lemons.Take suitable variables for each item and form a linear equation in two variable .Plot the straight line formed. (Graph paper is not necessary)
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Answers
Step-by-step explanation:
Given:-
The total cost of five oranges is 5 rupees more than twice the total cost of five lemons.
To find:-
Take suitable variables for each item and form a linear equation in two variable .Plot the straight line formed. (Graph paper is not necessary)
Solution:-
Let the cost of one lemon be Rs. X
Let the cost of one orange be Rs. Y
Total cost of 5 lemons = 5×X = Rs. 5X
Total cost of 5 oranges = 5×Y = Rs. 5Y
Given that
The total cost of five oranges is 5 rupees more
than twice the total cost of five lemons.
=> 5Y = 2(5X)+5
=> 5Y = 10X+5
=> 5Y = 5(2X+1)
=> 5Y/5 = 2X+1
=> Y = 2X+1
=> 2X+1-Y = 0
=> 2X-Y+1 = 0
Graph:-
The points (0,1),(1,3),(2,5)...
Scale : On X-axis 1 cm = 1 unit
On Y-axis 1 cm = 1 unit
Observations:
The graph of the linear equation in two variables is a straight line.
Answer:-
The required linear equation in two variables is 2X-Y+1 = 0
Used formulae:-
- A linear equation has two variables is called a Linear equation in two variables.
- The standard linear equation in two variables is ax+by+c = 0
- A Linear equation in two variables has infinitely number of many solutions .
Answer:
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