Question

plzz answer this, A fraction becomes 1/4, when 2 is subtracted from the numerator and 3 is added to the denominator. Represent this situation as a linear equation in two variables. Also , find two solution for this

Answer 1

x-2/y+3=1/4. therefore 4x-8=y+3. hence 4x-y=11. is the linear equations in two variables

Answer 2

Let the numerator = x
Let the denominator = y

so, the fraction = xy
Now, it is given that when 2 is subtracted from the denominator and 3 is added to the denominator, then fraction reduces to 1/4.
So, according to given condition, we have
x − 2y + 3 = 14⇒4(x − 2) = y + 3⇒4x − 8 = y + 3⇒4x − y = 3 + 8⇒4x − y = 11 .....(1)

Put x = 3 in the (1), we get
4(3) - y = 11
⇒12 - y = 11
⇒- y = 11 - 12
⇒y = 1
so, (3, 1) is the solution of the equation.

​Put x = 4 in (1), we get
4(4) - y = 11

⇒16 − y = 11⇒−y = 11 − 16⇒ −y = − 5⇒y = 5
so, (4, 5) is the solution of the equation