Question

Solve the following systems of equations :
4/x + 5y = 7
3/x + 4y = 5

Answer 1

$\huge\underline \mathfrak \blue{Answer}$

let ,

$\Large\boxed{1/x=z}$

eq. will

==> 4z + 5y = 7. -------------( ¡ )

==> 3z + 4y = 5 -------------( ¡¡ )

now ,

multiplying eq. ( ¡ ) by 3 & eq. ( ¡¡ ) by 4

we get,

==> 12z + 15y = 21. -----------( ¡¡¡ )

==> 12z + 16y = 20. ----------( ¡v )

now ,

subtracting eq. ( ¡¡¡ ) from eq ( ¡v )

==> $\Large\boxed{y=(-1)}$

for the value of z ,

putting the value of y in eq. ( ¡ )

$\Large\boxed{z=4}$

==>. z = 1 / x

==>. $\Large\boxed{x=1/4}$

I hope this helps u...☺️