What is 2sqrt(x)+3sqrt(y)=7,3sqrt(x)-2sqrt(y)=4 ?

The solution to 2sqrt(x)+3sqrt(y)=7,3sqrt(x)-2sqrt(y)=4 is

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2sqrt(x)+3sqrt(y)=7,3sqrt(x)-2sqrt(y)=4

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

(x = 4, y = 1)

Solution steps

[2 x + 3 y = 7 3 x - 2 y = 4]

Isolate

x

for

2 x + 3 y = 7 : x = \frac{7 - 3 y}{2}

Plug the solutions

x = \frac{7 - 3 y}{2}

into

3 x - 2 y = 4

For

3 x - 2 y = 4

, subsitute

x

with

\frac{7 - 3 y}{2} : y = 1

Plug the solutions

y = 1

into

2 x + 3 y = 7

For

2 x + 3 y = 7

, subsitute

y

with

1 : x = 4

Verify solutions by plugging them into the original equations

Therefore, the final solution for

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

(x = 4, y = 1)

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

f (x) = 5, x^{2} = \frac{1}{2}

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

15 a = 3, b = 5 c

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

What is 2sqrt(x)+3sqrt(y)=7,3sqrt(x)-2sqrt(y)=4 ?
The solution to 2sqrt(x)+3sqrt(y)=7,3sqrt(x)-2sqrt(y)=4 is