To solve the system of equations, follow these steps:
1. Identify the given equations:
[tex]\[
y = -5x + 30
\][/tex]
[tex]\[
x = 10
\][/tex]
2. Substitute the value of [tex]\( x \)[/tex] from the second equation into the first equation:
[tex]\[
x = 10
\][/tex]
3. Plug [tex]\( x = 10 \)[/tex] into the first equation [tex]\( y = -5x + 30 \)[/tex]:
[tex]\[
y = -5(10) + 30
\][/tex]
4. Evaluate the expression:
[tex]\[
y = -50 + 30
\][/tex]
[tex]\[
y = -20
\][/tex]
Therefore, the solution to the system of equations is [tex]\( (x, y) = (10, -20) \)[/tex].
So, the correct answer is:
[tex]\[
(10, -20)
\][/tex]
