What is x+sqrt(y)=7,sqrt(x)+y=11 ?

The solution to x+sqrt(y)=7,sqrt(x)+y=11 is

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x+sqrt(y)=7,sqrt(x)+y=11

x + y = 7, x + y = 11

(x = 4, y = 9)

Solution steps

[x + y = 7 x + y = 11]

Isolate

x

for

x + y = 7 : x = 7 - y

Plug the solutions

x = 7 - y

into

x + y = 11

For

x + y = 11

, subsitute

x

with

7 - y : y = 9

Plug the solutions

y = 9

into

x + y = 7

For

x + y = 7

, subsitute

y

with

9 : x = 4

Verify solutions by plugging them into the original equations

Therefore, the final solution for

x + y = 7, x + y = 11

(x = 4, y = 9)

4 x + 6 y = - 1, 10 x + 18 y = 14

- x + 3 y - 13 = 0, - 4 x + 2 y - 22 = 0

\frac{x}{10} + \frac{y}{5} + 1 = 1, 5 \frac{x}{8} + \frac{y}{6} = 15

(1) x = 7, 3 x + y = 25

2 x - 3 y = - 15, 3 x - 4 y = - 18