what solution is

To solve the system of equations given by:

1. \( y = 5x + 7 \)
2. \( 3y - 15x = 18 \)

we can substitute the expression for \( y \) from the first equation into the second equation.

Substituting \( y = 5x + 7 \) into the second equation:

\[
3(5x + 7) - 15x = 18
\]

Now, distribute \( 3 \):

\[
15x + 21 - 15x = 18
\]

Now, simplify the equation:

\[
21 = 18
\]

This is a contradiction, meaning that there are no values of \( x \) and \( y \) that can satisfy both equations simultaneously. Therefore, the system of equations is inconsistent, and there is no solution. The two lines represented by these equations are parallel and do not intersect.