Question

if x+y=7 and x-y=5 the value of x and y are_______. a)x=6 bad y=1. b)x=1,y=6 c)x=5 ,y=2 d)x=7, y=0.​

Answer 1

Answer:

Given ,

✯ x + y = 7 ------ (1)

✯ x - y = 5 ------ (2)

So from (1)

$x + y = 7 \\ \\ = > x = 7 - y$

Now putting back the value of x in (2) , we get :

$x - y = 5 \\ \\ = > 7 - y - y = 5 \\ \\ = > 7 - 2y = 5 \\ \\ = > - 2y = 5 - 7 \\ \\ = > - 2y = - 2 \\ \\ ( - \: and \: - \: cancelled) \\ \\ = > y = \frac{2}{2} \\ \\ = > y = 1$

Now again putting back the value of y in (1)

$x + y = 7 \\ \\ = > x + 1 = 7 \\ \\ = > x = 7 - 1 \\ \\ = > x = 6$

So correct option is (a) x = 6 and y = 1 .

hope this much helps uh ❣️

Answer 2

Answer:

a) X=6 Y=I

Step-by-step explanation:

x+y=7

x-y=5

let's add eqn

2x=12

x = 12/2

x = 6

put x = 6 in x+y = 7

x+y=7

6+ y = 7

y=7-6

Y=I