Final answer:
The given equation is a linear equation, which can be simplified to 5x+4y=-1. You can solve for variables 'x' and 'y' based on further equations provided in a system of linear equations.
Step-by-step explanation:
The equation provided is a type of linear equation. To solve for 'x' and 'y', start by multiplying both sides of the equation by the common denominator of 20, which eliminates the fractions:
(20/4)*(x+5) + (20/5)*(y-1) = 20
Simplify further to give you:
5(x+5)+4(y-1)=20
Expand those expressions:
5x+25+4y-4=20,
Which simplifies to:
5x+4y= -1.
This is a linear equation form where you can solve for either 'x' or 'y' based on additional equations provided in the system.
Learn more about Solving Linear Equations