Question

5x-9y =-3
5x-10y=-5

solve this equation​

Answer 1

Step-by-step explanation:

hope you got it............

Answer 2

Question:-

$\sf{Find\:the\:value\:of\:x\:and\:y\:from\:the\:following\:equation:-}$

$\sf{5x - 9y = -3}$

$\sf{5x - 10y = -5}$

Solution:-

$\sf{5x - 9y = -3\:\: ------> (i)}$

$\sf{5x - 10y = -5\:\: -----> (ii)}$

$\sf{From\:eq.(i)}$

$\sf{5x - 9y = -3}$

= $\sf{5x = -3+9y}$

=> $\sf{x = \dfrac{ -3 + 9y}{5}}$

Now,

$\sf<u>{</u><u>Substituting</u><u>\</u><u>:</u><u> </u><u>t</u><u>he</u><u>\</u><u>:</u><u> </u><u>value</u><u>\</u><u>:</u><u> </u><u>of</u><u>\</u><u>:</u><u> </u><u>x</u><u>\</u><u>:</u><u> </u><u>in</u><u> </u><u>\</u><u>:</u><u> </u><u>eq</u><u>.</u><u>(</u><u>ii</u><u>)</u>}$

= $\sf{5x - 10y = -5}$

= $\sf{5\times\dfrac{\bigg(-3+9y}{5\bigg)} -10y = -5}$

=> $\sf{-3+9y -10y = -5}$

=> $\sf{-3 - y = -5}$

=> $\sf{-y = -5+3}$

=> $\sf{-y = -2}$

=> $\sf{y = 2}$

$\sf{Putting\:the\:value\:of\:y\:in\:eq.(i)}$

= $\sf{5x - 9y = -3}$

= $\sf{5x - 9\times2 = -3}$

=> $\sf{5x -18 = -3}$

=> $\sf{5x = -3+18}$

=> $\sf{5x = 15}$

=> $\sf{x = \dfrac{15}{5}}$

=> $\sf{x = 3}$

$\sf{\therefore\: x = 3,\: y = 2}$