We have the following expression given:

We can start selecting as common factor 4y^2 and we got:

Now we can select y+7 as common factor and we got:

So then our final answer would be:
Answer:
x = -19; y = 25/3
Step-by-step explanation:
Step 1: solve the equation with only one variable
Isolate the variable (x)
x + 10 = -9
x = -9 - 10
x = -19
Step 2: input new information into the other equation
If x = -19, then:
2(-19) - 6y = 12
Isolate the variable (y)
-38 - 6y = 12
-6y = 12 + 38
-6y = 50
y = 50 ÷ 6
y = 50/6
Simplify
y = 25/3
Looks like you have most of the details already, but you're missing one crucial piece.
is parameterized by

for
and
, and a normal vector to this surface is

with norm

So the integral of
is

15x = 500-50
15x = 450
x = 450/15
x =30
Thus, x is equal to 30.