Final answer:
To solve the given system of equations using the elimination method, subtract one equation from the other to eliminate a variable. Then, solve for the remaining variable. In this case, we find that x = 5 and y = 0.
Step-by-step explanation:
To solve the given system of equations using the elimination method, we need to eliminate one variable by manipulating the equations.
In this case, we can eliminate the variable 'y'. To do this, we can subtract the two given equations. So:
(4x + 5y) - (3x + 5y) = 20 - 15
By simplifying the equation, we get:
x = 5
Now, substitute this value of 'x' into any of the original equations to solve for 'y'. Let's use the first equation:
4(5) + 5y = 20
20 + 5y = 20
Subtracting 20 from both sides of the equation gives:
5y = 0
Finally, divide both sides of the equation by 5:
y = 0