Question

If 3x+5y=10 and 3y+5x=30 then average if ‘x’ and ‘y’ is?

Answer 1

Given: 3x + 5y =10 ......(1)
5x + 3y =30 ......(2)
Now, adding equation (1) & (2)
We get,
8x + 8y =40
ie. 8( x + y) 40
Therefore,
x + y = 5.....(3)
Now, subtracting equation (1) from (2) We get,
2x -2y = 20
ie. 2( x - y) =20
Therefore,
x - y = 10.....(4)
Again, solving equation (3) & (4)
We get,
x = 15/2
y = -5/2

Answer 2

Given,

3x + 5y =10 ......(1)

5x + 3y =30 ......(2)

Now, adding eq (1) & (2)

We get,

8x + 8y =40

ie. 8( x + y) 40

∴ x + y = 5.....(3)

Now, subtracting eq (1) from (2)

We get,

2x -2y = 20

ie. 2( x - y) =20

∴ x - y = 10.....(4)

Again, solving equation (3) & (4)

We get,

x = 15/2

y = -5/2

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