What is x+y=3,x^3+y^3=9 ?

The solution to x+y=3,x^3+y^3=9 is

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x+y=3,x^3+y^3=9

x + y = 3, x^{3} + y^{3} = 9

(x = 1, x = 2, y = 2 y = 1)

Solution steps

[x + y = 3 x^{3} + y^{3} = 9]

Isolate

x

for

x + y = 3 : x = 3 - y

Plug the solutions

x = 3 - y

into

x^{3} + y^{3} = 9

For

x^{3} + y^{3} = 9

, subsitute

x

with

3 - y : y = 2, y = 1

Plug the solutions

y = 2, y = 1

into

x + y = 3

For

x + y = 3

, subsitute

y

with

2 : x = 1

For

x + y = 3

, subsitute

y

with

1 : x = 2

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x + y = 3, x^{3} + y^{3} = 9

are

(x = 1, x = 2, y = 2 y = 1)

\frac{m}{s ^{2}} v = 3.2 \frac{m}{s}, a = 0

7^{y} = 25 5^{z}, 1 5^{x} = 1

2 x - 3 y = 1, 6 - 2 x + 3 y = - 4

3 x^{4} y = 2, (2) 2 x - 5 y = 9

x + y = 30, lo g_{3} (x) + lo g_{3} (y) = 4