Resident Welfare Association of a colony decided to developed flower beds in the park of the colony and then plant rose plants in the beds. The difference of three times the money spent on flower bed and the two time the spent rose plants was Rs. 5,000. Write a linear equation in two variable for this situation and draw a graph for it . What value is indicated from this action ?
Answers
Step-by-step explanation:
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3x - 2y - 5000 = 0 is the linear equation in two variables for this.
The value indicated by the action of the Resident Welfare Association is their willingness to improve the state of the colony and improve amenities.
Given:
The difference of three times the money spent on flower bed and the two time the spent rose plants was Rs.5,000.
To find:
A linear equation in two variable for this situation .
Solution:
If an equation is written in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.
In our case, we consider x as money spent on flower bed
And, we consider y as money spent on rose plants.
Thus, as per the given situation,
3x - 2y = 5000
This can also be written as 3x-2y - 5000 = 0.
And for plotting a graph for this, we have to solve for x and y:
x= (2(y+2500))/3.
And y = 3x/ 2 - 5000
Using x and y, now we can plot a graph required.
Therefore, the linear equation obtained is 3x-2y + 5000 = 0 which are in the form ax + by + c = 0.
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