Question

the number of solutions to the pair of linear equations
11x-7y=6
4x+9y=8​

Answer 1

$\huge\bigstar\sf\red{Answer:}$

$\sf{11x-7y=6...(1)}$

$\sf{4x+9y=8...(2)}$

$\sf{Multiply \ eq(1) \ by \ 4 and \ eq(2) \ by 11}$

$\sf{44x-28y=24...(3)}$

$\sf{44x+99y=88...(4)}$

$\sf{Subtract \ eq(2) \ from \ eq(1)}$

$\sf{44x+99y=88}$

$\sf{-}$

$\sf{44x-28y=24}$

____________________

$\sf{127y=62}$

$\sf{y=\dfrac{62}{127}}$

$\sf{Substitute \ in \ equation(2)}$

$\sf{4x+9\times\dfrac{62}{127}=6}$

$\sf{\therefore{4x+\dfrac{558}{127}=4}}$

$\sf{\therefore{4x=-50}}$

$\sf{\therefore{x=\dfrac{-25}{2}}}$

$\sf{The \ value \ of \ x \ is \ \dfrac{-25}{2} \ and \ y }$

$\sf{is \ \dfrac{62}{127}.}$

Answer 2

Answer:

unique solution this is the correct answer