Question

6xy-3x+2y=10
Cine ma ajuta primes te coronita

Answer 1

6xy - 3x + 2y =10
x(6y - 3 + 2y) = 10
x = $\frac{10}{8y - 3}$

inlocuim pe x

6y * $\frac{10}{8y - 3}$ - 3 * $\frac{10}{8y - 3}$ + 2y = 10

$\frac{60y}{8y - 3} - \frac{30}{8y - 3} + \frac{2y(8y-3)}{8y - 3} = \frac{10(8y-3)}{(8y-3)}$

60y - 30 + $16y^{2}$- 6y = 10(8y-3)
60y - 30 + $16y^{2}$- 6y =80y - 30

60y - 30 + $16y^{2}$ - 6y - 80y + 30 = 0

16y^2  - 26y = 0

y ( 16 y - 26 ) = 0
16 y - 26 = 0
y =  $\frac{26}{16}$ = $\frac{13}{8}$

x = $\frac{10}{ \frac{8x13}{8-3}}$
x = $\frac{10}{ \frac{104}{8} - 3}$
x = $\frac{10}{ \frac{104 - 24}{8}}$
x = $\frac{10}{10}$
x = 1

Verificam

6x1x$\frac{13}{8}$ - 3x1 + 2x$\frac{13}{8}$ = 10
$\frac{78}{8} - \frac{24}{8} + \frac{26}{8}$ = 10
$\frac{80}{8}$ = 10
10 = 10 ADEVARAT


Vacanta placuta in continuare!
Succes!