Question

phone comparing the ratio a1 a2 b1 B2 and C1 C2 find out whether the following pair of linear equation are consistants or in consistants:-3/2x+5/3y=7;9x-10y=14​

Answer 1

GIVEN THE EQUATION ARE↙️

$\frac{3}{2} x + \frac{5}{3} y = 7$___(1)

$9x - 10 = 14$______(2)

NOW-:

$\frac{a1}{a2} = \frac{3}{2}/9 = \frac{1}{6}$

$\frac{b1}{b2} = \frac{5}{3}/-10 = \frac{ - 1}{6}$

$\frac{c1}{c2} = \frac{7}{14} = \frac{1}{2}$

NOW,

$\frac{a1}{a2} ≠ \frac{b1}{b2}$

concept↙️

THESE LINEAR EQUATION ARE INTERSECTING EACH OTHER AT ONE POINT AND HAVE ONLY

ONE POSSIBLE SOLUTION.

!hence the linear equation is consistent✅