Question

(Pls Help ASAP) (If you don't know don't Answer)

Answer 1

Explanation:

4x + y = 8

x + 3y = 8

`Here, (a_(1))/(a_(2))=(4)/(1)\\\\\\(b_(1))/(b_(2))=(1)/(3)\\\\\\(a_(1))/(a_(2)) \\eq (b_(1))/(b_(2))`

So, this system of equations is consistent and independent.

-4x + 6y = -2

2x - 3y = 1

`(a_(1))/(a_2)}=(-4)/(2)=(-2)/(1)\\\\\\(b_(1))/(b_(2))=(6)/(-3)=(-2)/(1)\\\\\\(c_(1))/(c_(2))=(-2)/(1)\\\\\\(a_(1))/(a_(2))=(b_(1))/(b_(2))=(c_(1))/(c_(2))`

So, the system of linear equations are consistent and dependent.

5x -2y = 4

5x - 2y = 6

`(a_(1))/(a_(2))=(5)/(5)=1\\\\\\(b_(1))/(b_(2))=(-2)/(-2)=1\\\\\\(c_(1))/(c_(2))=(4)/(6)=(2)/(3)\\\\\\ (a_(1))/(a_(2))=(b_(1))/(b_(2)) \\eq (c_(1))/(c_(2))`

This system of equations is inconsistent.