To solve the system of equations:
5x + 2y = 24
2x + 5y = 24
We can use either elimination or substitution method.
Using elimination method:
Multiplying the first equation by 5 and the second equation by -2, we get:
25x + 10y = 120
-4x - 10y = -48
Adding the two equations together eliminates y:
21x = 72
Solving for x:
x = 72/21 = 8/3
Substituting x back into one of the original equations and solving for y:
5(8/3) + 2y = 24
2y = 24 - 40/3
2y = 12/3
y = 6/2 = 3
Therefore, the solution to the system of equations is:
x = 8/3
y = 3