Can you please help? I am working System of Equations. I need to find the solution of each of the following systems: How do I solve...thank you

Y = 5x -3 and Y = -3x +5

one way is just plain substitution. You know that y = 5x-3, so use that in the other equation:

y = -3x+5
5x-3 = -3x+5
8x = 8
x = 1
Now, y = 5x-3 = 5-3 = 2

substituting for x will also work, but then you have fractions to work with, since

x = (y+3)/5 or (5-y)/3