Question

Solve: 7 x + 2 y = 16; -21 x-6 y = 24 Solve : 7 x + 2 y = 16 ; -21 x - 6 y = 24​

Answer 1

Answer:

No solution

Step-by-step explanation:

Solving system of linear equations:

 7x + 2y = 16 ----------------(I)

-21x - 6y = 24 -----------------(II)

$\sf \dfrac{a_1}{a_2}=\dfrac{7}{-21}=\dfrac{-1}{3}$

$\sf \dfrac{b_1}{b_2}=\dfrac{2}{-6}=\dfrac{-1}{3}$

$\sf \dfrac{c_1}{c_2} =\dfrac{16}{24}=\dfrac{2}{3}\\\\ \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2}$

So, the lines are parallel and has no solution