What is x+y=7,xy^2x-3y+xy=0 ?

The solution to x+y=7,xy^2x-3y+xy=0 is

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Popular >

x+y=7,xy^2x-3y+xy=0

Solution

x + y = 7, x y^{2} x - 3 y + x y = 0

Solution

x = 7, x = 7.08139 \dots, x = 0.61145 \dots, x = - 0.69284 \dots, y = 0 y = - 0.08139 \dots y = 6.38854 \dots y = 7.69284 \dots

Solution steps

[x + y = 7 x y^{2} x - 3 y + x y = 0]

Isolate

x

for

x + y = 7 : x = 7 - y

Plug the solutions

x = 7 - y

into

x y^{2} x - 3 y + x y = 0

For

x y^{2} x - 3 y + x y = 0

, subsitute

x

with

7 - y : y = 0, y \approx - 0.08139 \dots, y \approx 6.38854 \dots, y \approx 7.69284 \dots

Plug the solutions

y = 0, y = - 0.08139 \dots, y = 6.38854 \dots, y = 7.69284 \dots

into

x + y = 7

For

x + y = 7

, subsitute

y

with

0 : x = 7

For

x + y = 7

, subsitute

y

with

- 0.08139 \dots : x = 7.08139 \dots

For

x + y = 7

, subsitute

y

with

6.38854 \dots : x = 0.61145 \dots

For

x + y = 7

, subsitute

y

with

7.69284 \dots : x = - 0.69284 \dots

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x + y = 7, x y^{2} x - 3 y + x y = 0

are

x = 7, x = 7.08139 \dots, x = 0.61145 \dots, x = - 0.69284 \dots, y = 0 y = - 0.08139 \dots y = 6.38854 \dots y = 7.69284 \dots

Popular Examples

-2x^2y=4-x^2,y=9

- 2 x^{2} y = 4 - x^{2}, y = 9

-x-y=-3,x^2-y=-1

- x - y = - 3, x^{2} - y = - 1

3x^2-23x+40=0,5y^2-17y+1y=0

3 x^{2} - 23 x + 40 = 0, 5 y^{2} - 17 y + 1 y = 0

6x^2+y=1,412x^2-y=4

6 x^{2} + y = 1, 412 x^{2} - y = 4

abb=6c,c=10

abb = 6 c, c = 10

Frequently Asked Questions (FAQ)

What is x+y=7,xy^2x-3y+xy=0 ?
The solution to x+y=7,xy^2x-3y+xy=0 is