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

No solution

Explanation:

Solving system of linear equations:

7x + 2y = 16 ----------------(I)

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

`\sf (a_1)/(a_2)=(7)/(-21)=(-1)/(3)\\`

`\sf (b_1)/(b_2)=(2)/(-6)=(-1)/(3)`

`\sf (c_1)/(c_2) =(16)/(24)=(2)/(3)\\\\ (a_1)/(a_2)=(b_1)/(b_2) \\eq (c_1)/(c_2)`

So, the lines are parallel and has no solution