Question

solve the equation .you can use whichever method you want . 5x-8y=-1;3x-24/5y+3/5

Answer 1

Given:→

Equation 1:

5x - 8y = -1

Equation 2: (With Correction)

$3x + \dfrac{24y}{5} = \dfrac{ 3}{5}$

______________________________

Method used:-

✏️✒️{SUBSTITUTION METHOD}️️

_____________________________

SOLUTION:-

Taking Equ.1

$\implies5x - 8y = -1$

$\implies5x = -1 + 8y$

$\implies x = \dfrac{-1 + 8y }{5}$

NOW SUBSTITUTE THE VALUE OF X IN EQU.2➠

Taking Equ. 2

$\implies \: 3x + \dfrac{24y}{5} = \dfrac{3}{5}$

$\implies \: \dfrac{3 (- 1 + 8y)}{5} + \dfrac{24y}{5} = \dfrac{3}{5}$

$\implies \: \dfrac{ - 3 + 24y}{5} + \dfrac{24y}{5} = \dfrac{3}{5}$

$\implies \: \dfrac{ - 3 + 24y + 24y}{5} = \dfrac{3}{5}$

$\implies \: 48y = 6$

$\implies \: y = \dfrac{1}{8}$

Then Value of x,

$\implies x = \dfrac{-1 + 8y }{5}$

$\implies x = \dfrac{-1 + 8 \times \dfrac{1}{8} }{5}$

$\implies x = 0$