Question

If x+y= -10 and x-y=2 what is the value of x

Answer 1

x + y = - 10 (equation 1)

x - y = 2 (equation 2)

using equation 2 we get x = 2 + y

putting the value of x in equation 1 we get :

(2 + y) + y = - 10

2 y = -10-2

2 y = -12

y = -6

put the value of y in any equation

to get the value of x

x - y = 2

x - (-6) = 2

x + 6 = 2

x = -4

Answer 2

X+Y=10, X-Y=2, what is X, Y?

Answer: x=6 and y=4

Step-by-step explanation:

Given:

x+y=10 ⟶(i)

x−y=2 ⟶(ii)

From equation (ii) ,

x=2+y

Put value of x in equation (i) ,

2+y+y=10

2+2y=10

2(1+y)=10

1+y=102

1+y=5

y=5−1

y=4

Put value of y in equation (ii) ,

x−4=2

x=2+4

x=6

x + y = 10 → Eq A

x – y = 2 → Eq B

Now we will take out the expression of x from Eq A.

x + y = 10 Eq A

x = 10 – y → Expression of x

Now put the expression of x in Eq B.

x – y = 2

( 10 – y ) – y = 2

10 – 2y = 2

10 – 2 = 2y

8 = 2y

y = 8 / 2

y = 4

Now put the value of y in expression of x.

x = 10 – y

x = 10 – 4

x = 6

So, x = 6 and y = 4.

Thank you.

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