Final answer:
To find the solution to the equation -9x-4y=0, substitute the given equation y=-5x+11 and solve for x and y and get the solution to the equation is x=4 and y=-9.
Step-by-step explanation:
To find the solution to the equation -9x-4y=0 while showing your work, we can use the given equation y=-5x+11 and substitute it into the original equation.
-9x-4(-5x+11)=0
-9x+20x-44=0
Combine like terms: 11x-44=0
Add 44 to both sides: 11x=44
Divide both sides by 11: x=4
Now, substitute the value of x into the equation y=-5x+11:
y=-5(4)+11
y=-20+11
y=-9
Therefore, the solution to the equation is x=4 and y=-9.