The solution to the system of equations is x = 4.31 and y = 3.93.
To solve the system of equations using the elimination method, we can follow these steps:
Multiply the first equation by 5 and the second equation by 3 to make the coefficients of y the same in both equations.
This gives us:
45x - 15y = 135
12x + 15y = 111
Add the two equations together to eliminate the y variable.
45x - 15y + 12x + 15y = 135 + 111
57x = 246
Solve for x.
x = 246 / 57
x = 4.31 (rounded to two decimal places)
Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
9(4.31) - 3y = 27
38.79 - 3y = 27
-3y = 27 - 38.79
-3y = -11.79
y = -11.79 / -3
y = 3.93 (rounded to two decimal places)
The solution to the system of equations is x = 4.31 and y = 3.93.