Question

what is the solve for x,y when x+y =8 and xy=15?​

Answer 1

Answer:

x = 5 or 3

y = 3 or 5

Step-by-step explanation:

Firstly, We find the factors of 15 which is

(1,15) and (3,5)

So,

The sum of the two values should be  = 8

1 + 15 = 16 which is not equal to 8

3 + 5 = 8

∴ x = 5 or 3 and y = 3 or 5

Answer 2

Answer:

The values of $x \text{ and } y$ are 3 and 5.

Step-by-step explanation:

Given that the variables $x$ and $y$ satisfy the following equations.

$x+y=8 \hspace{2cm} (1)\\\\xy=15 \hspace{2.3cm} (2)$

From equation (1), we get

$y=8-x$

Substituting this in equation (2),

$x(8-x)=15$

Now we can solve the above equation for $x$ .

$\implies 8x-x^2=15\\\\\implies x^2-8x+15=0\\\\\implies (x-5)(x-3)=0\\\\\implies x=5 \ \ or \ \ x=3$

If $x=5$ then

$y=8-5=3$

and if $x=3$

$y=8-3=5$

So the values of the variables are 3 and 5.