Question

If x+y=14 and 2x-y=16 then find x=?

Answer 1

x  +  y  = 14  -------- equation 1

2x  - y = 16  --------- equation 2

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3x - 0 = 30

3x = 30

x = 10

put this value to equation 1 or equation 2 to find y

x + y = 14

10  + y = 14

y = 14 - 10

y = 4

Answer 2

Answer:

In the first equation,

$x+y=14\\=>x=14-y$ .........(A)

In the second equation,

$2x-y=16\\=>2(14-y)-y=16$  (according to equation A)

$28-2y-y=16\\=>28-3y=16\\=>-3y=16-28\\=>-3y=-12\\=>3y=12\\=>y=\frac{12}{3}=4$

Therefore y = 4. Now substituting y value in (A),

$x=14-4\\=>x=10$

Therefore, x = 10.

HOPE IT HELPS!

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