Graphically find whether the following pair …

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Graphically find whether the following pair of equation has no solution unique solution or infinitely many solutions: 5x-8y+1=0 3x-24/5×y+3/5=0?

Posted by Priyanshu Psb2 6 years ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years ago

$a_1 = 5,\ b_1 = -8,\ c_1 = 1$ and $a_2 = 3,\ b_2 =$ $\frac{-24}{5}$ , $c_2 =$ $\frac{3}{5}$
$\frac { a _ { 1 } } { a _ { 2 } }$ = $\frac{5}{3}$ ...(i)
$\frac { b _ { 1 } } { b _ { 2 } }$ = $\frac { - 8 } { - 24 / 5 }$ = $\frac{5}{3}$ ...(ii)
and $\frac { c _ { 1 } } { c _ { 2 } }$ = $\frac { 1 } { 3 / 5 }$ = $\frac{5}{3}$ ...(iii)
Form (i), (ii) and (iii)
$\frac { a _ { 1 } } { a _ { 2 } } = \frac { b _ { 1 } } { b _ { 2 } } = \frac { c _ { 1 } } { c _ { 2 } }$
$\therefore$ The pair of equations has infinitely many solutions.

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