Question

The solution of the equations x+y=14 and x-y=4 is (a) x=9 and y=5 (b) x=5and y=9 (c) x=7 and y=7 (d) x=10andy=4​

Answer 1

Answer:

a )x=9,x=5

you can substitute

and check

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Answer 2

Step-by-step explanation:

✯ x+y = 14

=> x = 14-y ——— (i)

✯ x-y = 4

=> x = 4+y ——— (ii)

On equating equations (i) and (ii), we get,

14-y = 4+y

=> -y-y = 4-14

=> -2y = -10

=> 2y = 10

=> y $= \frac{10}{2}$

=> y = 5

From equation (i), we get,

x = 14-y

=> x = 14-5

=> x = 9

HENCE, x = 9 and y = 5 (option:a).