What is sqrt(2x)-sqrt(3y)=0,sqrt(3x)-sqrt(8y)=0 ?

The solution to sqrt(2x)-sqrt(3y)=0,sqrt(3x)-sqrt(8y)=0 is

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sqrt(2x)-sqrt(3y)=0,sqrt(3x)-sqrt(8y)=0

2 x - 3 y = 0, 3 x - 8 y = 0

(x = 0, y = 0)

Solution steps

[2 x - 3 y = 0 3 x - 8 y = 0]

Isolate

x

for

2 x - 3 y = 0 : x = \frac{3 y}{2} {y \geq 0}

Plug the solutions

x = \frac{3 y}{2}

into

3 x - 8 y = 0

For

3 x - 8 y = 0

, subsitute

x

with

\frac{3 y}{2} : y = 0

Plug the solutions

y = 0

into

2 x - 3 y = 0

For

2 x - 3 y = 0

, subsitute

y

with

0 : x = 0

Verify solutions by plugging them into the original equations

Therefore, the final solution for

2 x - 3 y = 0, 3 x - 8 y = 0

(x = 0, y = 0)

y = 7 x, x + y = 8

15 x + 17 y = 21, 17 x + 15 y = 17

4 x + 3 y = 32, 2 x - 7 y = - 18

3 x + 7 y = 35, 8 x - 7 y = - 35

2 x + 4 y = 4, 3 x + 5 y = 10

What is sqrt(2x)-sqrt(3y)=0,sqrt(3x)-sqrt(8y)=0 ?
The solution to sqrt(2x)-sqrt(3y)=0,sqrt(3x)-sqrt(8y)=0 is