Question

2x + 3y = 28
2x +3y = 24
( Liner Simultaneously Equations)​

Answer 1

$\huge\tt\underline\red{Ans}\underline {w}\underline\purple{er}\underline{:}\orange {\downarrow}$

The equation have no solution

$\huge \underbrace \mathfrak \red{\bigstar Explanation}$

$\tt 2x + 3y = 28-------(I)$

$\tt 2x +3y = 24-------(ii)$

$\tt 2x + 3y -28 = 0$

$\tt 2x +3y - 24=0$

$\bf{ \therefore a_1 = 2 ,\: b_1 = 3 \: and\: c_1 = -28}$

$\bf{ \therefore a_2 = 2 ,\: b_2 = 3\: and \: c_2 = -24}$

Now,

$\large{ \frac{a_1 }{a_2} = \frac {2}{2}= 1 }$

$\large{ \frac{b_1 }{b_2} = \frac {3}{3}= 1 }$

$\large{ \frac{c_1 }{c_2} = \frac {-28}{-24}= \frac{7}{6} }$

So,

$\large{ \frac{a_1 }{a_2} = \frac{b_1 }{b_2}≠\frac{c_1 }{c_2} }$

We ,know that

The equation has no solution when :-

$\tt \boxed{\pink{\large{ \frac{a_1 }{a_2} = \frac{b_1 }{b_2}≠\frac{c_1 }{c_2}}} }$

Hope it will help you

Kindly, Brainlist