What is x+y=10,xy=16 ?

The solution to x+y=10,xy=16 is

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x+y=10,xy=16

x + y = 10, x y = 16

(x = 8, x = 2, y = 2 y = 8)

Solution steps

[x + y = 10 x y = 16]

Isolate

x

for

x + y = 10 : x = 10 - y

Plug the solutions

x = 10 - y

into

x y = 16

For

x y = 16

, subsitute

x

with

10 - y : y = 2, y = 8

Plug the solutions

y = 2, y = 8

into

x + y = 10

For

x + y = 10

, subsitute

y

with

2 : x = 8

For

x + y = 10

, subsitute

y

with

8 : x = 2

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x + y = 10, x y = 16

are

(x = 8, x = 2, y = 2 y = 8)

4 y^{2} - 34 y + 289 = 0, x^{2} = 6

x^{2} + y^{2} - 12 x + 26 = 0, \frac{( x ^{2} )}{2} - y^{2} = \frac{7}{2}

x + y + x y = - 11, x^{2} + y^{2} + x y = 13

x - y - 4 = 0, x y - 12 = 0

35 x^{2} - 12 x + 1 = 0, 20 y^{2} - 14 y + 2 = 0