What is 7x-2 y/x y=5,8x+7 y/x y=15 ?

The solution to 7x-2 y/x y=5,8x+7 y/x y=15 is

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Popular >

7x-2 y/x y=5,8x+7 y/x y=15

Solution

7 x - 2 \frac{y}{x} y = 5, 8 x + 7 \frac{y}{x} y = 15

Solution

(x = 1, x = 1, y = 1 y = - 1)

Solution steps

[7 x - 2 \cdot \frac{y}{x} y = 5 8 x + 7 \cdot \frac{y}{x} y = 15]

Isolate

x

for

7 x - 2 \frac{y}{x} y = 5 : x = \frac{5 + 25 + 56 y ^{2}}{14}, x = \frac{5 - 25 + 56 y ^{2}}{14}

Plug the solutions

x = \frac{5 + 25 + 56 y ^{2}}{14}, x = \frac{5 - 25 + 56 y ^{2}}{14}

into

8 x + 7 \frac{y}{x} y = 15

For

8 x + 7 \frac{y}{x} y = 15

, subsitute

x

with

\frac{5 + 25 + 56 y ^{2}}{14} : y = 1, y = - 1

For

8 x + 7 \frac{y}{x} y = 15

, subsitute

x

with

\frac{5 - 25 + 56 y ^{2}}{14} :

No Solution for

y \in R

Plug the solutions

y = 1, y = - 1

into

7 x - 2 \frac{y}{x} y = 5

For

7 x - 2 \frac{y}{x} y = 5

, subsitute

y

with

1 : x = 1, x = - \frac{2}{7}

For

7 x - 2 \frac{y}{x} y = 5

, subsitute

y

with

- 1 : x = 1, x = - \frac{2}{7}

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

7 x - 2 \frac{y}{x} y = 5, 8 x + 7 \frac{y}{x} y = 15

are

(x = 1, x = 1, y = 1 y = - 1)

Popular Examples

3x+y=1,3x+y=17

3 x + y = 1, 3 x + y = 17

x+2y=0,x+2y=5

x + 2 y = 0, x + 2 y = 5

x^2+y^2=26,x+y=4

x^{2} + y^{2} = 26, x + y = 4

-x+2y=4,x-2y=4

- x + 2 y = 4, x - 2 y = 4

4/x+3/y =2,4x+3y=25

\frac{4}{x} + \frac{3}{y} = 2, 4 x + 3 y = 25

Frequently Asked Questions (FAQ)

What is 7x-2 y/x y=5,8x+7 y/x y=15 ?
The solution to 7x-2 y/x y=5,8x+7 y/x y=15 is