Question

8x-9y=6xyand10x+6y=19xy

Answer 1

8x - 9y = 6xy and 10x + 6y = 19xy


Answers:

→ Find the y

8x - 9y = 6xy  ⇒ multiplied by number 2
10x + 6y = 19xy ⇒ multiplied by number 3
--------------------- 
16x - 19y = 12xy
30x + 18y = 57xy
--------------------- +
46x = 69xy

46x = 69xy
46 = 69y
y = $\frac{46}{69}$


→ Find the x

8x - 9.$\frac{46}{69}$ = 6.x.$\frac{46}{69}$
8x - 6x$\frac{46}{69}$ = 9.$\frac{46}{69}$


Equite the denominator
$= \frac{552x}{69} - \frac{276x}{69} = \frac{414}{69}$
$\frac{276x}{69} = \frac{414}{69}$
276x = 414
$x = \frac{414}{276}$
$x = \frac{207}{138}$
$x = \frac{69}{46}$


x = $\frac{69}{46}$
y = $\frac{46}{69}$