Final answer:
To solve the system of equations using substitution, solve one equation for one variable and substitute it into the other equation. Finally, solve for the remaining variable.
Step-by-step explanation:
To solve the system of equations | X – 2y = 0 and 2x - 5y = -4 using substitution, we can start by solving one equation for one variable and then substituting it into the other equation. Let's solve the first equation for x:
X = 2y
Now substitute this value of x into the second equation:
2(2y) - 5y = -4
Simplify and solve for y:
4y - 5y = -4
-y = -4
y = 4
Now substitute this value of y back into one of the original equations to solve for x:
X - 2(4) = 0
X - 8 = 0
X = 8
Therefore, the solution to the system of equations is X = 8 and y = 4.