Question

Check whether the equations x+2y-5=0 and 2x+y+9=0 are consistent or inconsistent

Answer 1

Answer: The pairs of linear equation are consistent (more specifically, they are consistent independent)

Step-by-step explanation

x+2y-5=0

2x+y+9=0

Condition for unique solution

a1/a2 ≠ b1/b2

1/2 ≠ 2/1

The pair of linear equations have exactly one solution

Since they have exactly one solution (unique solution), they are consistent (consistent independent)

Hope this helps!!