What is 3x^4y=2,(2)2x-5y=9 ?

The solution to 3x^4y=2,(2)2x-5y=9 is

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

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

(x = 2.28079 \dots, y = 0.02463 \dots)

Solution steps

[3 x^{4} y = 2 (2) \cdot 2 x - 5 y = 9]

Isolate

x

for

(2) 2 x - 5 y = 9 : x = \frac{9 + 5 y}{4}

Plug the solutions

x = \frac{9 + 5 y}{4}

into

3 x^{4} y = 2

For

3 x^{4} y = 2

, subsitute

x

with

\frac{9 + 5 y}{4} : y \approx 0.02463 \dots

Plug the solutions

y = 0.02463 \dots

into

(2) 2 x - 5 y = 9

For

(2) 2 x - 5 y = 9

, subsitute

y

with

0.02463 \dots : x = 2.28079 \dots

Verify solutions by plugging them into the original equations

Therefore, the final solution for

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

(x = 2.28079 \dots, y = 0.02463 \dots)

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

f (x) = 2, x^{2} + 11 x - 219 x = \frac{3}{2}

x + y = 10, lo g_{2} (x) + lo g_{2} (y) = 4

5 x^{2} - 27 x^{2} + 36 = 0, y^{2} y + 2 = 0

f (x) = 2, x^{2} + 8 x - 3 x^{0} = - 3