Question

solve 2x+y=8 & X-y=8​

Answer 1

Answer:

Given,

x-y=8

=> x=8+y ---(i)

Also given,

2x+y=8

=> 2(8+y)+y=8 [from (i)]

=> 16+2y+y=8

=> 3y=8-16

=> y=(-8)/3

(i)=> x=8+(-8)/3

=> x=(24-8)/3

=> x=16/3

Answer 2

The solution is $x=\frac{16}{3}$ and $y=-\frac{8}{3}$.

Step-by-step explanation:

Given : Equations $2x+y=8$ and $x-y=8$

To find : Solve the equation ?

Solution :

Let  $2x+y=8$  .....(1)

$x-y=8$  ......(2)

Substitute the value of x from (2) in (1),

$2(8+y)+y=8$

$16+2y+y=8$

$3y=-8$

$y=-\frac{8}{3}$

Substitute in (2),

$x-(-\frac{8}{3})=8$

$x=8-\frac{8}{3}$

$x=\frac{24-8}{3}$

$x=\frac{16}{3}$

Therefore, the solution is $x=\frac{16}{3}$ and $y=-\frac{8}{3}$.

#Learn more

- Solve: x + y = 8 and 2x - y=1.​

https://brainly.in/question/12168924