We are given a system of two linear equations: $-2x - 3y = 5$ $6x + 9y = 3$ We need to find the solution to this system of equations.

1. Problem Description

We are given a system of two linear equations:

$-2x - 3y = 5$

$6x + 9y = 3$

We need to find the solution to this system of equations.

2. Solution Steps

We can use the method of elimination to solve this system of equations.

First, multiply the first equation by 3:

$3(-2x - 3y) = 3(5)$

$-6x - 9y = 15$

Now we have the following system of equations:

$-6x - 9y = 15$

$6x + 9y = 3$

Add the two equations together:

$(-6x - 9y) + (6x + 9y) = 15 + 3$

$0 = 18$

Since $0 = 18$ is a contradiction, the system of equations has no solution. The two lines are parallel.

3. Final Answer

No solution.