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Solve the system of equations 5x+2y=24
2X+5y=24

User Domagoj
by
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1 Answer

5 votes

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

User Pavol Zibrita
by
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