Question

Please help me guys!!!!!!!!

Answer 1

add both equation

u will get

200x + 200y = 1000

x + y = 5

subtract both equation

2y - 2x = -2

x - y = 1

add 3rd and 4th equation

2x = 6

x = 3

y = 2

Answer 2

We have,

99x + 101y = 499 ...(i)
101x + 99y = 501 ...(ii)

On adding both the equations we'll get,

200x + 200y = 1000

Taking 200 as common,

200(x + y) = 1000

x + y = 1000/200

x + y = 5 ...(iii)

Now, subtract equation (ii) from (i),

we get,

-2x + 2y = -2

Taking -2 as common,

-2(x - y) = -2

x - y = -2/-2

x - y = 1 ...(iv)

On adding equation (iii) and (iv), we get,

x + y = 5
x - y = 1

2x = 6
x = 3

Substitute the value of x in equation (iv)

x - y = 1
- y = 1 - x
-y = 1 - 3
- y = -2
y = 2

Therefore, the values of x and y are 3 and 2 respectively.

Hope this helps you.