JEE Main PYQ-2022 Part-C Function & it's Domain

[@rkm823]

Two equations for finding value of 'x' and 'y'
1) ax + by = C
2) px + qy =C
(If "C" is the Real Number as- 0,1,2,3......).
Can we write or say.
"ax+by = px+qy = C"
("ax+by = px+qy") ( Because both are equal to "C").
Is it true or not. please help with example 🙏

[@thegeniustutorial88]

Yes we can do this,
It's like we are subtracting both the equations and doing so,we will get another equation in x and y then just substitute value of y or x in any equation to get the solution.
Example:
2x+3y=5 ----(i)
3x+2y=5 ----(ii)
from above equation
2x+3y=3x+2y or x=y substitute in (i) we get
2x+3x=5
5x=5 or x=1 and y=1