5a-3b-1=0

Solution for 5a-3b-1=0 equation:

Simplifying
5a + -3b + -1 = 0

Reorder the terms:
-1 + 5a + -3b = 0

Solving
-1 + 5a + -3b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 5a + 1 + -3b = 0 + 1

Reorder the terms:
-1 + 1 + 5a + -3b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5a + -3b = 0 + 1
5a + -3b = 0 + 1

Combine like terms: 0 + 1 = 1
5a + -3b = 1

Add '3b' to each side of the equation.
5a + -3b + 3b = 1 + 3b

Combine like terms: -3b + 3b = 0
5a + 0 = 1 + 3b
5a = 1 + 3b

Divide each side by '5'.
a = 0.2 + 0.6b

Simplifying
a = 0.2 + 0.6b