To solve the equation \(5x - 6y = 25\) given \(x = 10\) and \(y = 10\), we can follow these steps:
1. Substitute the value of \(x\) into the equation.
[tex]\[
5(10) - 6y = 25
\][/tex]
2. Simplify the multiplication within the equation.
[tex]\[
50 - 6y = 25
\][/tex]
3. Substitute the value of \(y\) into the simplified equation.
[tex]\[
50 - 6(10) = 25
\][/tex]
4. Simplify the multiplication within the equation.
[tex]\[
50 - 60 = 25
\][/tex]
5. Simplify the subtraction to find the resulting value.
[tex]\[
-10 = 25
\][/tex]
So, when we substitute [tex]\(x = 10\)[/tex] and [tex]\(y = 10\)[/tex] into the equation [tex]\(5x - 6y = 25\)[/tex], the calculated result is [tex]\(-10\)[/tex].