What is (10)/((x+y))+2/((x-y))=4,(15)/((x+y))-5/((x-y))=-2 ?

The solution to (10)/((x+y))+2/((x-y))=4,(15)/((x+y))-5/((x-y))=-2 is

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(10)/((x+y))+2/((x-y))=4,(15)/((x+y))-5/((x-y))=-2

\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4, \frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2

(x = 3, y = 2)

Solution steps

[\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4 \frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2]

Isolate

x

for

\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4 : x = \frac{3 + - 4 y ( - y + 2 ) + 9}{2}, x = \frac{3 - - 4 y ( - y + 2 ) + 9}{2}

Plug the solutions

x = \frac{3 + - 4 y ( - y + 2 ) + 9}{2}, x = \frac{3 - - 4 y ( - y + 2 ) + 9}{2}

into

\frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2

For

\frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2

, subsitute

x

with

\frac{3 + - 4 y ( - y + 2 ) + 9}{2} : y = 2

For

\frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2

, subsitute

x

with

\frac{3 - - 4 y ( - y + 2 ) + 9}{2} :

No Solution for

y \in R

Plug the solutions

y = 2

into

\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4

For

\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4

, subsitute

y

with

2 : x = 3, x = 0

Verify solutions by plugging them into the original equations

Therefore, the final solution for

\frac{10}{( x + y )} + \frac{2}{( x - y )} = 4, \frac{15}{( x + y )} - \frac{5}{( x - y )} = - 2

(x = 3, y = 2)

15 a = 3, b = 5 c

u^{53} n = 3 u, m = 5

2 a^{2} = 3, b + 82 b^{2} = 3 a + 8 a^{2} + b^{2}

1 x^{2} + 7 x + 12 = 0, 11 \cdot 2 y^{2} + 17 y + 35 = 0

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

What is (10)/((x+y))+2/((x-y))=4,(15)/((x+y))-5/((x-y))=-2 ?
The solution to (10)/((x+y))+2/((x-y))=4,(15)/((x+y))-5/((x-y))=-2 is