Question

Q 16) solve :- x +y =34 ; x - y = 6
O x=20 ,y=15
O x=20 ,y=18
Ox=20 ,y=14
O x=20 ,y=16​

Answer 1

Answer:

x = 20 and y = 14 is correct option

Step-by-step explanation:

x + y = 34 --(1)

x - y = 6

x = 6 + y --(2)

Put value of x in eq.--(1)

6 + y + y = 34

6 + 2y = 34

2y = 34 - 6

2y = 28

y = 28/2

y = 14

Put value of y in eq.--(2)

x = 6 + 14

x = 20

Answer 2

Step-by-step explanation:

$\red{ \bold{ \underline{\mathcal{Given:}}}} \: \red{ \bold{ \mathcal{x + y = 34 \: and \: x - y = 6.}}} \\ \red{ \bold{ \mathcal{Add \: both \: equations.}}} \\ \red{ \bold{ \mathcal{Then,}}} \: \red{ \bold{ \mathcal{x + x + y - y = 40}}} \\ \red{ \bold{ \tt:{ \implies { \mathcal{2x = 40}}}}} \\ \red{ \bold{ \tt:{ \implies { \mathcal{x = \frac{40}{2} = 20.}}}}} \\ \blue{ \bold{ \mathcal{ Put \: the \: value \: of \: x \: in \: 1st \: eqution.}}} \\ \red{ \bold{ \mathcal{ Then, \: it \: will \: become \: 20 + y = 34.}}} \\ \red{ \bold{ \tt:{ \implies { \mathcal{y = 34 - 20 = 14.}}}}} \\ \red{ \bold{ \mathcal{ \therefore{ \underline{x = 20 \: and \: y = 14.}}}}}$