Question

On comparing the ratios `bb(a_1/a_2, b_1/b_2)` and `bb(c_1/c_2`, find out whether the following pair of linear equations are consistent, or inconsistent.

5x – 3y = 11 ; –10x + 6y = –22

Answer 1

5x - 3y = 11

-10x + 6y = -22

= `a_1/a_2 = 5/(-10) = -1/2`,

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

= `c_1/c_2 = 11/(-22) = -1/2`

= `a_1/a_2 = b_1/b_2 = c_1/c_2`

The pair of linear equations is consistent.