Question

if πx+3y=25, write y in terms of x and also find the two solutions of this equation.​

Answer 1

Given:

The equation  πx+3y=25

To find:

If πx+3y=25, write y in terms of x and also find the two solutions of this equation.​

Solution:

From given, we have,

πx + 3y = 25

we have to notice that the given equation is same as,

3.14x + 3y = 25  

22/7x + 3y = 25

we know the standard form of equation of line is given by,

y = mx + c...(1)

The given equation can be written as,

3.14x + 3y = 25

3y = -3.14x + 25

y = (-3.14/3)x + 25/3

y = -1.047x + 8.33 .....(2)  [representation of y in terms of x]

comparing equations (1) and (2) we can say that, the given equation represents a straight line.

The solutions of this equation can be found by equating x coefficient and y coefficient equal to zero one at a time.

So, we have,

when x = 0,

y = -1.047(0) + 8.33

y = 8.33

(0, 9.33)

when y = 0,

(0) = -1.047x + 8.33

-8.33 = -1.047x  

x = 8.33/1.047

x = 7.96

(7.96, 0)

Therefore, the solutions of the given equation are (0, 9.33) and (7.96, 0)