5y+4x=-41 I believe this is the correct problem. Thank you. Sorry for the error.

5y + 4x = -41

what are you solving for?

copy the complete problem from your book
there isn't anything to solve for above, unless

5y + 4x = -41
5y = -41 - 4x
y = (-41 - 4x)/5

4x = -41 - 5y
x = (-41 - 5y)/4

is this what you want
there is nothing else to solve for

Thank you so very much. Actually, there was something to solve for but the problem as it was written was not written completely down, so it left a gap in the way it was supposed to be solved. Thank you, for your help and your patience.

4x+5y=4, 8x+10y=8

No problem at all! I'll be happy to help you with the equation 5y + 4x = -41.

To find the solution to this equation, we need to solve for either x or y in terms of the other variable. Let's solve for y in terms of x:

Step 1: Begin with the given equation: 5y + 4x = -41.
Step 2: Subtract 4x from both sides of the equation: 5y = -4x - 41.
Step 3: Divide both sides of the equation by 5 to isolate y: y = (-4/5)x - 41/5.

The equation y = (-4/5)x - 41/5 is the solution to the given equation. This is a linear equation in slope-intercept form, where the coefficient of x (-4/5) represents the slope of the line and the constant term (-41/5) represents the y-intercept.

You can now use this equation to find the value of y for a given value of x, or vice versa.