3x - 2y = - 4 ,\\ 5x-3y=-6;

To solve this system of linear equations, we can use the method of substitution or elimination. Let's use the elimination method to solve these two equations:

Given equations:

1. 3x - 2y = -4
2. 5x - 3y = -6

To eliminate y, we can multiply the first equation by 3 and the second equation by 2:

1. 9x - 6y = -12
2. 10x - 6y = -12

Now, subtract the second equation from the first equation to eliminate y:

(9x - 6y) - (10x - 6y) = -12 - (-12) 9x - 6y - 10x + 6y = -12 + 12 -x = 0 x = 0

Now substitute x = 0 into one of the original equations, let's use equation 1:

3(0) - 2y = -4 -2y = -4 y = 2

Therefore, the solution to the system of equations is x = 0 and y = 2.